Chapter 12.4, Problem 3CYU

To determine

The volume of figure:

Answer to Problem 3CYU

The volumeof figure is $74.16f{t}^3$

Explanation of Solution

Given:

  $\begin{array}{l}h=5cm\\ A=44.5c{m}^2\end{array}$

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 ofpyramid: $w$

Length ofpyramid: $l$

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.

  $\begin{array}{l}V=\frac{Ah}{3}\\ V=\frac{44.5\times 5}{3}\\ V=74.16f{t}^3\end{array}$

Conclusion:

Hence, the volume of the pyramid is $74.16f{t}^3$