The base of a right prism is an equilateral triangle with a side 6 cm and its height is 18 cm. Find its volume, -Maths 9th

The base of a right prism is an equilateral triangle with a side 6 cm and its height is 18 cm. Find its volume, -Maths 9th
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Volume of a right prism = Area of base × height.  Since the base is an equilateral triangle of side 6 cm,  Area of base = 3√434 x (side)2 = (3√4×62)(34×62)cm2 = 3√434 x 36 cm2 = 93–√93 cm2 ∴ Volume = (93–√93 x18) cm3 = 162√3 cm3  Lateral surface area = Perimeter of the base × Height  = (6 + 6 + 6) cm × 18 cm = 18 cm × 18 cm = 324 cm2  Total surface area = Lateral surface area + Area of ends (bases)  = (324 + 2 × 9√3 ) cm2 = (324 + 18√3 ) cm2 = (324 + 31.176) cm2 = 355.176 cm2.
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