1.

In a right prism, the base is an equilateral triangle. Its volume is `80sqrt(3) cm^(3)` and its lateral surface area is 240 `cm^(2)`. Find its height (in cm).A. 10B. 5C. 15D. 20

Answer» Correct Answer - D
Let the side of the base be a cm. Let the height of the prism be h cm.
`((sqrt(3))/(4)a^(2))(h)=80sqrt(3) " (1)" `
`(3a)(h)=240 " (2)" `
`((1))/((2))implies(sqrt(3))/(12)a=(sqrt(3))/(3)`
`a=4`
From Eq. (2), `implies h=20.`


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