Chapter 12.7, Problem 18IP

To determine

To find : Height of square pyramid.

Answer to Problem 18IP

  $16.5\text{ m}$

Explanation of Solution

Given information :

We know that, square pyramid volume = $873.18{\text{ m}}^{\text{3}}$ and length = $12.6\text{ m}$

Formula Used:

Volume of square pyramid = $\frac{1}{3}\times B\times h$

Calculation :

Base area = B = (length)2 = ${(12.6)}^2{\text{m}}^{\text{2}}$

So,

Volume of Square Pyramid = $873.18$

  $\begin{array}{l}$ \frac{1}{3}\times \pi \times {(12.6)}^2\times h=873.18$\Rightarrow h=\frac{873.18\times 3}{3.14\times {(12.6)}^2}\\ \Rightarrow h=16.5\text{ m}\end{array}$

So, height = $16.5\text{ m}$ .