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Poojagupta · Answer 1 · 2023-11-24T02:11:14+0000

Given the formula

This is the formula to obtain the volume of a square pyramid, not a square prism; we will solve the question using the formula above, nonetheless.

Solve for h as shown below

$\begin{gathered} \Rightarrow3V=3((1)/(3)s^2h)=s^2h \\ \Rightarrow(3V)/(s^2)=(s^2h)/(s^2)=h \\ \Rightarrow h=(3V)/(s^2) \end{gathered}$

The answer is h=3V/s^2.

Set V=60cm^3, and s=6cm; then,

$\begin{gathered} V=60\operatorname{cm}3,s=6\operatorname{cm} \\ \Rightarrow h=\frac{3(60cm^3)}{(6\operatorname{cm})^2}=\frac{180\operatorname{cm}3}{36\operatorname{cm}2}=5\operatorname{cm} \\ \Rightarrow h=5\operatorname{cm} \end{gathered}$

Therefore, the answer is h=5cm.

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