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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 |
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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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