Chapter 12.4, Problem 32STP

To determine

To find: Volume of a square pyramid with a height of $12centimeters$ and base edges of $4centimeters$ .

Answer to Problem 32STP

Volume of square pyramid $=64c{m}^3$so option (b) is correct.

Explanation of Solution

Given:

Height of pyramid $=12cm$

Base edge $=4cm$

  $48c{m}^3$

  $64c{m}^3$

  $96c{m}^3$

  $192c{m}^3$

Concept used:

Volume of square pyramid is calculated as,

  $V=\frac{1}{3}BH$

Where,

  $V=$ volume of square pyramid.

  $B=$ breadth of square pyramid.

  $H=$ height of square pyramid.

Volume of square pyramid is calculated as,

  $V=\frac{1}{3}BH$

  $\begin{array}{l}B=baseareaofsquare={\left(side\right)}^2\\ h=heightofsquarepyramid\end{array}$

Here side edge $=4cm$ , height $\left(h\right)=12cm$

So volume is calculated as,

  $V=\frac{1}{3}{\left(s\right)}^{2}h$

  $=\frac{1}{3}\times {\left(s\right)}^2\times 12$

  $=64c{m}^3$

Volume of square pyramid $=64c{m}^3$

Conclusion:

Thus, Volume of square pyramid $=64c{m}^3$so option (b) is correct.