Chapter 1, Problem 22CR

a.

To determine

To calculate:

The formula in terms of $h$

Answer to Problem 22CR

The formula in terms of $h$ is $h=\frac{3V}{B}$ .

Explanation of Solution

Given information:

  

Formula used: The volume of pyramid is given by the following expression:

  $V=\frac{1}{3}Bh$

Where,

Base area of pyramid: $B$

Height of pyramid: $h$

Calculation:

The given formula for volume of pyramid is:

  $V=\frac{1}{3}Bh$....... (1)

Switch both sides as:

  $\frac{1}{3}Bh=V$

Multiply by $\frac{3}{B}$ :

  $\begin{array}{l}\frac{1}{3}B\times \frac{3}{B}h=V\times \frac{3}{B}\\ h=\frac{3V}{B}\end{array}$

b.

To determine

To calculate:

The height of pyramid

Answer to Problem 22CR

The height of pyramid is $18cm$

Explanation of Solution

Given information:

  

Formula used: The volume of pyramid is given by the following expression:

  $V=\frac{1}{3}Bh$

Where,

Base area of pyramid: $B$

Height of pyramid: $h$

Calculation:

From the subpart(a):

The formula for height of pyramid is given as:

  $h=\frac{3V}{B}$

Put the given data:

  $\begin{array}{l}h=\frac{3V}{B}\\ h=\frac{3\left(216c{m}^3\right)}{\left(36c{m}^2\right)}\\ h=18cm\end{array}$