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Sagot :
Given the formula
[tex]V=\frac{1}{3}s^2h[/tex]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
[tex]\begin{gathered} \Rightarrow3V=3(\frac{1}{3}s^2h)=s^2h \\ \Rightarrow\frac{3V}{s^2}=\frac{s^2h}{s^2}=h \\ \Rightarrow h=\frac{3V}{s^2} \end{gathered}[/tex]The answer is h=3V/s^2.
Set V=60cm^3, and s=6cm; then,
[tex]\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}[/tex]Therefore, the answer is h=5cm.
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