What are volume and surface area?

What are volume and surface area?
by

1 Answer

Answer :

The volume of a solid object is a measure of the total amount ofspace the object occupies.The surface area of a solid object is a measure of the totalarea that the surface of the object occupies.
by

Related questions

the curved surface area of a cylinder is 154 cm. the total surface area of the cylinder is three times its curved surface area. find the volume of the cylinder. -Maths 9th

Description : the curved surface area of a cylinder is 154 cm. the total surface area of the cylinder is three times its curved surface area. find the volume of the cylinder. -Maths 9th

Last Answer : T.S.A = 3*154 = 462 cm² C.S.A = 154 cm² C.S.A = 2πrh T.S.A = 2πr(r+h) Now, In T.S.A = 2πrr + 2πrh 462 = 2πrr + 2πrh 462 = 2*22/7*r*r + 154 462 - 154 = 2*22/7*r*r 308*7/2*22 = r*r 49 = r*r R = 7 cm ... 7*h 154/44 = h 7/2 =h H = 3.5 cm or 7/2 cm Now volume = πrrh = 22/7 * 7* 7 *7/2 = 11*49 = 539 cm³

case study questions class 9 maths surface area and volume -Maths 9th

Description : case study questions class 9 maths surface area and volume -Maths 9th

Last Answer : Q. Read the source or text given below and answer the following questions: A conical circus tent has to be made with a cloth that is 5m wide, whose height is 24m, and the radius of the base is 7m. ... 4. Find the Curved Surface Area Answers: 1. Curved Surface Area 2. 550 m 3. Rs.3850 4.110m²

The whole surface area of a rectangular block is 1300 cm2. Find its volume, if their dimensions are in the ratio of 4 : 3 : 2. -Maths 9th

Description : The whole surface area of a rectangular block is 1300 cm2. Find its volume, if their dimensions are in the ratio of 4 : 3 : 2. -Maths 9th

Last Answer : Let the length, breadth and height of the rectangular box be 4x, 3x and 2x, respectively. ∵ Total surface area = 1300 cm2 2(4x × 3x + 3x × 2x + 4x × 2x) = 1300 52x2 =1300x2 = 25x = 5 ∴ Volume of rectangular box = 4x × 3x × 2x = 24(5)2 = 3000 cm3

If the ratio of curved surface area and total surface area of a cylinder is 1 : 3, then find the volume of cylinder when the height is 2 cm. -Maths 9th

Description : If the ratio of curved surface area and total surface area of a cylinder is 1 : 3, then find the volume of cylinder when the height is 2 cm. -Maths 9th

Last Answer : Let the radius and height of the cylinder be r and h, respectively . Given that, Curved surface area / Total surface area = 1/3 ⇒ 2πrh / 2πr(h + r) = 1/3 ⇒ 3h = h + r ⇒ r = 2h = 4cm ∴ volume of cylinder πr2h = π × (4)2 × 2 = 32π cm3

If the volume of a sphere is numerically equal to its surface area, then find the diameter of the sphere. -Maths 9th

Description : If the volume of a sphere is numerically equal to its surface area, then find the diameter of the sphere. -Maths 9th

Last Answer : Let r be the radius of the sphere. and Volume of a sphere = surface area of the sphere ⇒ 4 / 3πr3 = 4πr2 ⇒ r = 3 cm ∴ Diameter of the sphere = 2r = 2 × 3 = 6 cm

A spherical ball is divided into two equal halves. If the curved surface area of each half is 56.57 cm?, find the volume of the spherical ball.11531/cylinder-radius-halved-and-height-doubled-then-find-volume-with-respect-original-volume -Maths 9th

Description : A spherical ball is divided into two equal halves. If the curved surface area of each half is 56.57 cm?, find the volume of the spherical ball.11531/cylinder-radius-halved-and-height-doubled-then-find-volume-with-respect-original-volume -Maths 9th

Last Answer : since curved surface of half of the spherical ball = 56.57 cm2 ∴ 2πr2 = 56.57 ⇒ r2 = 56.57 / 2 × 3.14 = 9 ⇒ r = 3 cm Now, volume of spherical ball = 4 / 3 πr3 = 4 / 3 × 3.14 × 3 × 3 × 3 = 113.04 cm3

The whole surface area of a rectangular block is 1300 cm2. Find its volume, if their dimensions are in the ratio of 4 : 3 : 2. -Maths 9th

Description : The whole surface area of a rectangular block is 1300 cm2. Find its volume, if their dimensions are in the ratio of 4 : 3 : 2. -Maths 9th

Last Answer : Let the length, breadth and height of the rectangular box be 4x, 3x and 2x, respectively. ∵ Total surface area = 1300 cm2 2(4x × 3x + 3x × 2x + 4x × 2x) = 1300 52x2 =1300x2 = 25x = 5 ∴ Volume of rectangular box = 4x × 3x × 2x = 24(5)2 = 3000 cm3

If the ratio of curved surface area and total surface area of a cylinder is 1 : 3, then find the volume of cylinder when the height is 2 cm. -Maths 9th

Description : If the ratio of curved surface area and total surface area of a cylinder is 1 : 3, then find the volume of cylinder when the height is 2 cm. -Maths 9th

Last Answer : Let the radius and height of the cylinder be r and h, respectively . Given that, Curved surface area / Total surface area = 1/3 ⇒ 2πrh / 2πr(h + r) = 1/3 ⇒ 3h = h + r ⇒ r = 2h = 4cm ∴ volume of cylinder πr2h = π × (4)2 × 2 = 32π cm3

If the volume of a sphere is numerically equal to its surface area, then find the diameter of the sphere. -Maths 9th

Description : If the volume of a sphere is numerically equal to its surface area, then find the diameter of the sphere. -Maths 9th

Last Answer : Let r be the radius of the sphere. and Volume of a sphere = surface area of the sphere ⇒ 4 / 3πr3 = 4πr2 ⇒ r = 3 cm ∴ Diameter of the sphere = 2r = 2 × 3 = 6 cm

A spherical ball is divided into two equal halves. If the curved surface area of each half is 56.57 cm?, find the volume of the spherical ball.11531/cylinder-radius-halved-and-height-doubled-then-find-volume-with-respect-original-volume -Maths 9th

Description : A spherical ball is divided into two equal halves. If the curved surface area of each half is 56.57 cm?, find the volume of the spherical ball.11531/cylinder-radius-halved-and-height-doubled-then-find-volume-with-respect-original-volume -Maths 9th

Last Answer : since curved surface of half of the spherical ball = 56.57 cm2 ∴ 2πr2 = 56.57 ⇒ r2 = 56.57 / 2 × 3.14 = 9 ⇒ r = 3 cm Now, volume of spherical ball = 4 / 3 πr3 = 4 / 3 × 3.14 × 3 × 3 × 3 = 113.04 cm3

The total surface area of a cube is 96 cm2 . The volume of the cube is -Maths 9th

Description : The total surface area of a cube is 96 cm2 . The volume of the cube is -Maths 9th

Last Answer : NEED ANSWER

The lateral surface area of a cube is 256 m2. The volume of the cube is -Maths 9th

Description : The lateral surface area of a cube is 256 m2. The volume of the cube is -Maths 9th

Last Answer : NEED ANSWER

The total surface area of a cube is 96 cm2 . The volume of the cube is -Maths 9th

Description : The total surface area of a cube is 96 cm2 . The volume of the cube is -Maths 9th

Last Answer : (c) Surface area of a cube = 96 cm2 Surface area of a cube = 6 (Side)2 = 96 ⇒ (Side)2 = 16 ⇒ (Side) = 4 cm [taking positive square root because side is always a positive quantity] Volume of cube = (Side)3 = (4)3 = 64 cm3 Hence, the volume of the cube is 64 cm3.

The lateral surface area of a cube is 256 m2. The volume of the cube is -Maths 9th

Description : The lateral surface area of a cube is 256 m2. The volume of the cube is -Maths 9th

Last Answer : (a) Given, lateral surface area of a cube = 256 m2 We know that, lateral surface area of a cube = 4 x (Side)2 ⇒ 256 = 4 x (Side)2 ⇒ (Side)2 = 256/4 = 64 ⇒ Side = √64 = 8 m [taking positive square root ... of a cube = (Side)3 = (8)3 = 8 x 8 x 8 = 512 m3 Hence, the volume of the cube is 512 m3.

Find the ratio of surface area and volume of the sphere of unit radius. -Maths 9th

Description : Find the ratio of surface area and volume of the sphere of unit radius. -Maths 9th

Last Answer : Required ratio = 4πr2 / 4/3.πr3 = 3 x 4 x π x (1)2 / 4 x π x (1)3 = 3/1 (Since, r = 1) i.e., 3 : 1

Find the volume of a sphere whose surface area is 154 cm sq. -Maths 9th

Description : Find the volume of a sphere whose surface area is 154 cm sq. -Maths 9th

Last Answer : Let r cm be the radius of sphere. Surface area of the sphere = 4 πr2 ⇒ 154 = 4 πr2 ⇒ 4 x 22/7 x r2 = 154 r 2 = 154 x 7/4 x 22 = 72/22 ⇒ r = 7/2 Volume of sphere = 4/3 πr3 = 4/3 x 22/7 x 7/2 x 7/2 x 7/2 cm3 = 539/3 cm3 = 179.2/3 cm3

Define :Volume and surface area of a hollow cylinder. -Maths 9th

Description : Define :Volume and surface area of a hollow cylinder. -Maths 9th

Last Answer : answer:

A sphere and a cube have the same surface area. What is the ratio of the square of volume of the sphere to the square of volume of the cube ? -Maths 9th

Description : A sphere and a cube have the same surface area. What is the ratio of the square of volume of the sphere to the square of volume of the cube ? -Maths 9th

Last Answer : answer:

The volume of a cube is numerically equal to sum of its edges. What is the total surface area in square units ? -Maths 9th

Description : The volume of a cube is numerically equal to sum of its edges. What is the total surface area in square units ? -Maths 9th

Last Answer : answer:

What is the volume of a right prism standing on a triangular base of sides 5 cm, 5 cm and 8 cm whose lateral surface area is 828 cm^2 ? -Maths 9th

Description : What is the volume of a right prism standing on a triangular base of sides 5 cm, 5 cm and 8 cm whose lateral surface area is 828 cm^2 ? -Maths 9th

Last Answer : Lateral surface area of a prism = Perimeter of base Height ⇒ 840 = (5 + 5 + 8) Height ⇒ Height = 8401884018 = 46 cm. = Semi perimeter of the triangular base = 182182 = 9 cm ∴ Area of triangle = 9(9- ... 4 1 = 12 cm2 ∴ Required volume of prism = Area of base Height = (12 46) cm3 = 552cm3

If S is the total surface area of a cube and V is its volume, then which of the following is correct ? -Maths 9th

Description : If S is the total surface area of a cube and V is its volume, then which of the following is correct ? -Maths 9th

Last Answer : answer:

The volume of a certain rectangular solid is 8 cm^3. Its total surface area is 32 cm^2 and its three dimensions are in geometric progression. -Maths 9th

Description : The volume of a certain rectangular solid is 8 cm^3. Its total surface area is 32 cm^2 and its three dimensions are in geometric progression. -Maths 9th

Last Answer : (b) 32 Let the edges of the solid be a, ar, ar2. Then, Volume = a x ar x ar2 = a3r3 = (ar)3. Given (ar)3 = 8 ⇒ ar = 2 Also, surface area = 2(a x ar + ar x ar2 + a × ar2) = 2(a2r + ... Given, 2ar (a + ar + ar2) = 32 ⇒ 4(a + ar + ar2) = 32 ; Sum of lengths of all edges = 32.

The magnitude of the volume of a closed right circular cylinder of unit height divided by the magnitude of the total surface area of the -Maths 9th

Description : The magnitude of the volume of a closed right circular cylinder of unit height divided by the magnitude of the total surface area of the -Maths 9th

Last Answer : answer:

For minimum curved surface area and given volume, the ration of the height and radius of base of a cone is :

Description : For minimum curved surface area and given volume, the ration of the height and radius of base of a cone is :

Last Answer : For minimum curved surface area and given volume, the ration of the height and radius of base of a cone is : A. ` ... : 1` C. `1 : 2` D. None of these

The volume of cube is increasing at a rate of `9 cm^(3)//sec`. Find the rate of increase of its surface area when the side of the cube is 10 cm.

Description : The volume of cube is increasing at a rate of `9 cm^(3)//sec`. Find the rate of increase of its surface area when the side of the cube is 10 cm.

Last Answer : The volume of cube is increasing at a rate of `9 cm^(3)//sec`. Find the rate of increase of its surface area when the side of the cube is 10 cm.

Calculate surface area to volume ratio of spherical particle.

Description : Calculate surface area to volume ratio of spherical particle.

Last Answer : Calculate surface area to volume ratio of spherical particle. See how the ratio increases with the ... particle. Plot the ratio against the radius.

What are the total volume and surface area of the small cubes?

Description : What are the total volume and surface area of the small cubes?

Last Answer : The volume of a cube is the length of the side, cubed.The areaof a cube is 6 times (the length of a side squared).

How would you draw a rectangular pyramid that is 8 inches by 4 inches and a height of 11 inches and how do you find the volume and surface area?

Description : How would you draw a rectangular pyramid that is 8 inches by 4 inches and a height of 11 inches and how do you find the volume and surface area?

Last Answer : You cannot draw a rectangular pyramid since it is a 3-dimensional object. You can only draw a projection of the 3-d object onto a 2-d plane and how you do that depends on what projection(s) you use.Volume = 352/3 = 117.33... (repeating) cubic inches.Total surface area = 168.3 sq inches, approx.

What happens to a cell's ratio of surface area to volume as the volume increases more rapidly than its surface area?

Description : What happens to a cell's ratio of surface area to volume as the volume increases more rapidly than its surface area?

Last Answer : The cell's ratio of surface area to volume would decrease if itsvolume increases more rapidly than its surface area.

When the volume of a cell increased its surface area?

Description : When the volume of a cell increased its surface area?

Last Answer : increases:by approximately the square of the cube root of the volumeincrease(that would be exact if the cell was a sphere).Or, in other words,if you double the size (diameter) of a cell.its surface area increases by a factor of 4,and it volume increases by a factor of 8.

What does low surface area to volume ratio do?

Description : What does low surface area to volume ratio do?

Last Answer : Reduces evaporation

What is answer Curved surface area of a cylinder is 176cm square area of base is 38.5cm square fund volume?

Description : What is answer Curved surface area of a cylinder is 176cm square area of base is 38.5cm square fund volume?

Last Answer : What is the answer ?

What are volume and surface area?

Description : What are volume and surface area?

Last Answer : The volume of a solid object is a measure of the total amount ofspace the object occupies.The surface area of a solid object is a measure of the totalarea that the surface of the object occupies.

What is the surface area and volume of each solid below?

Description : What is the surface area and volume of each solid below?

Last Answer : what is the surface area and volume of each solid below

What is the ratio of surface area to volume for a sphere with the following measurements surface area equals 588 M squared volume equals 1372 m to the Third?

Description : What is the ratio of surface area to volume for a sphere with the following measurements surface area equals 588 M squared volume equals 1372 m to the Third?

Last Answer : The ratio appears to be 588 to 1372 or 3 to 7 in its simplest form

What is cell surface area to volume ratio?

Description : What is cell surface area to volume ratio?

Last Answer : IDK quite

A high surface area to volume ratio in cells is important because it (a) Enables efficient transfer of wastes, nutrients and gases across the cell membrane (b) Prevents overproduction of cell proteins due to structural limitations (c) Allows many antigens on the surface for identification of self and non-self (d) Provides for better structural support to cope with external physical pressure

Description : A high surface area to volume ratio in cells is important because it (a) Enables efficient transfer of wastes, nutrients and gases across the cell membrane (b) Prevents overproduction of cell ... self and non-self (d) Provides for better structural support to cope with external physical pressure

Last Answer : Ans:(a)

A drop of liquid assumes spherical shape because: (1) Intermolecular forces are strong in liquids (2) A sphere has the least surface area for a given volume (3) A sphere has the largest surface area for a given volume (4) Inter molecular forces are weak in liquids

Description : A drop of liquid assumes spherical shape because: (1) Intermolecular forces are strong in liquids (2) A sphere has the least surface area for a given volume (3) A sphere has the largest surface area for a given volume (4) Inter molecular forces are weak in liquids

Last Answer : (2) A sphere has the least surface area for a given volume Explanation: A drop of liquid assumes spherical shape because a sphere has the least surface area for a given volume.

A boat will submerge when it displaces water equal to its own: (1) volume (2) weight (3) surface area (4) density

Description : A boat will submerge when it displaces water equal to its own: (1) volume (2) weight (3) surface area (4) density

Last Answer : (2) weight Explanation: A boat will float when the weight of the water it displaces equals the weight of the boat and anything will float if it is shaped to displace its own weight of water before ... a column of fluid, pressure increases with depth as a result of the weight of the overlying fluid.

For a non-spherical particle, the sphericity (A) Is defined as the ratio of surface area of a sphere having the same volume as the particle to the actual surface area of the particle (B) Has the dimension of length (C) Is always less than 1 (D) Is the ratio of volume of a sphere having the same surface area as the particle to the actual volume of the particle

Description : For a non-spherical particle, the sphericity (A) Is defined as the ratio of surface area of a sphere having the same volume as the particle to the actual surface area of the particle (B) Has ... of volume of a sphere having the same surface area as the particle to the actual volume of the particle

Last Answer : (A) Is defined as the ratio of surface area of a sphere having the same volume as the particle to the actual surface area of the particle

If dp is the equivalent diameter of a non-spherical particle, Vp its volume and sp its surface area, then its sphericity is φs is defined by (A) φs = 6 Vp /dpsp (B) φs = Vp /dpsp (C) φs = 6 dpSp /Vp (D) φs = dpSp /Vp

Description : If dp is the equivalent diameter of a non-spherical particle, Vp its volume and sp its surface area, then its sphericity is φs is defined by (A) φs = 6 Vp /dpsp (B) φs = Vp /dpsp (C) φs = 6 dpSp /Vp (D) φs = dpSp /Vp

Last Answer : (A) φs = 6 Vp /dpsp

Sphericity is the ratio of the surface area of a spherical particle having the same volume as the particle to the surface area of the particle. Which of the following has the maximum value of sphericity? (A) Sphere(B) Cube(C) Cylinder (L/D = 1)(D) Raschig rings

Description : Sphericity is the ratio of the surface area of a spherical particle having the same volume as the particle to the surface area of the particle. Which of the following has the maximum value of sphericity? (A) Sphere (B) Cube (C) Cylinder (L/D = 1) (D) Raschig rings

Last Answer : (A) Sphere

Specific surface area is the surface area of a unit __________ of materials. (A) Weight (B) Volume (C) Either (A) or (B) (D) Neither (A) nor (B)

Description : Specific surface area is the surface area of a unit __________ of materials. (A) Weight (B) Volume (C) Either (A) or (B) (D) Neither (A) nor (B)

Last Answer : (C) Either (A) or (B)

For spheres, the surface shape factor is given by (where, A = area, V = volume, and D = diameter) (A) π = (A/D2 ) (B) π/6 = (V/D3 ) (C) AD/V (D) None of these

Description : For spheres, the surface shape factor is given by (where, A = area, V = volume, and D = diameter) (A) π = (A/D2 ) (B) π/6 = (V/D3 ) (C) AD/V (D) None of these

Last Answer : (A) π = (A/D2 )

Sphericity for a non-spherical particle is given by (where, V and S are volume and surface area respectively of one particle. and, D = equivalent diameter of particle). (A) 6.V/D.S(B) V/6D.S (C) D.S/V (D) V/D.S

Description : Sphericity for a non-spherical particle is given by (where, V and S are volume and surface area respectively of one particle. and, D = equivalent diameter of particle). (A) 6.V/D.S (B) V/6D.S (C) D.S/V (D) V/D.S

Last Answer : (B) V/6D.S (C) D.S/V (D) V/D.S

An ideal tower packing should not (A) Have low weight per unit volume (B) Have large surface area per unit volume (C) Have large free cross-section (D) Hold up large amount of liquid in the packing

Description : An ideal tower packing should not (A) Have low weight per unit volume (B) Have large surface area per unit volume (C) Have large free cross-section (D) Hold up large amount of liquid in the packing

Last Answer : (D) Hold up large amount of liquid in the packing

In Biot number, the characteristic length used is the ratio of the __________ of the solid. (A) Volume to surface area (B) Perimeter to surface area (C) Surface area to volume (D) Surface area to perimeter

Description : In Biot number, the characteristic length used is the ratio of the __________ of the solid. (A) Volume to surface area (B) Perimeter to surface area (C) Surface area to volume (D) Surface area to perimeter

Last Answer : (A) Volume to surface area

Surface integral is used to compute a) Surface b) Area c) Volume d) density

Description : Surface integral is used to compute a) Surface b) Area c) Volume d) density

Last Answer : b) Area

Rate of low temperature oxidation of coal due to bad storage conditions (A) Decreases with increase in surface area (B) Does not vary with increase in surface area (C) Is more for low volatile coal compared to high volatile coal (D) Is accelerated by storage in large heaps with small surface to volume ratio

Description : Rate of low temperature oxidation of coal due to bad storage conditions (A) Decreases with increase in surface area (B) Does not vary with increase in surface area (C) Is more for low volatile ... to high volatile coal (D) Is accelerated by storage in large heaps with small surface to volume ratio

Last Answer : (D) Is accelerated by storage in large heaps with small surface to volume ratio

Helium-mercury method is used for the measurement of the __________ of the catalyst. (A) Surface area (B) Porosity (C) Pore volume (D) Both (B) & (C)

Description : Helium-mercury method is used for the measurement of the __________ of the catalyst. (A) Surface area (B) Porosity (C) Pore volume (D) Both (B) & (C)

Last Answer : (D) Both (B) & (C)