Chapter 12.5, Problem 4PSA

To determine

To calculate: The height h of a pyramid whose volume is 42 and base area is 14.

Answer to Problem 4PSA

The height h of a pyramid is $9$ .

Explanation of Solution

Given information:

Volume of pyramid= 42

Base area of pyramid B = 14

Formula used:

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

B = Base area of pyramid and h = height of pyramid

Calculation:

  

  $\begin{array}{l}{V}_{Pyramid}=\frac{1}{3}\times B\times h\\ 42=\frac{1}{3}\times 14\times h\\ 42=\frac{14}{3}\times h\\ h=\frac{126}{14}\\ h=9\end{array}$