1.

The height of a right prism with a square base is 10 cm. Calculate the volume of the prism if the total surface area of the prism is 200 sq.cm1). 165.25 cm32). 234.72 cm33). 171.57 cm34). 186.70 cm3

Answer»

Total surface AREA of the prism = Curved Surface area + 2 × Area of the BASE

Let the side of the base be x.

200 = 4 × 10x + 2x2

100 = x2 + 20x

⇒ x = - 10 + 10√2 ≈ 4.14

Volume = area of the base × height = x × x × 10

= 171.57 cm3


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