A wooden bookshelf has external dimensions as follows: -Maths 9th

A wooden bookshelf has external dimensions as follows: -Maths 9th
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Area of the bookshelf to be polished = Area of the five complete surfaces  + Area of 2 rectangles of dimensions 110 cm x 5 cm in the front  + Area of 4 rectangles of dimensions 75 cm x 5 cm in the fron t   = (110 x 85 + 2 x 85 x 25 + 2 x 110 x 25 + 2 x 110 x 5 + 4 x 75 x 5) = 9350 + 4250 + 5500 + 1100 + 1500 = 21700 cm2  ∴ Total cost of polishing =  ₹20/100 x 21700 = ₹4340 Now, Height of the bookshelf excluding the thickness of the plank = 110 - 4 x 5 = 90 cm  ∴ Area to be painted = Area of 3 open cuboids of dimensions 75 cm x 30 cm x 20 cm  = 3 x [75 x 30 + 2 x 30 x 20 + 2 x 20 x 75] = 3(2250 + 1200 + 3000) = 3 x 6450 = 19350 cm2  ∴ Total cost of painting =  ₹ 10/100 x 19350 = ₹1935 Hence, total expenses required = ₹(4340 + 1935) = ₹6275
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