Chapter 12.4, Problem 1CYP

To determine

The pyramid volume if the height and base area is $12ft,90f{t}^2$ respecticely.

Answer to Problem 1CYP

The pyramid volume of is $360f{t}^3$

Explanation of Solution

Given:

  $\begin{array}{l}h=12ft\\ A=90f{t}^2\end{array}$

Concept Used:

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

  $\begin{array}{l}V=\frac{lwh}{3}\\ V=\frac{Ah}{3}\end{array}$

Where,

Width of pyramid: $w$

Length of pyramid: $l$

Height of pyramid: $h$

Area of the pyaramid: $A=w\times l$

Calculation:

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

  $\begin{array}{l}V=\frac{lwh}{3}\\ V=\frac{Ah}{3}\end{array}$

Put the given data in eq.

  $\begin{array}{l}V=\frac{Ah}{3}\\ V=\frac{90\times 12}{3}\\ V=360f{t}^3\end{array}$

Conclusion:

Hence, the volume of the pyramid is $360f{t}^3$