Chapter 12.4, Problem 6PPS

To determine

The volume of figure:

Answer to Problem 6PPS

The volume of figure is $400m{m}^3$

Explanation of Solution

Given:

  $\begin{array}{l}h=25mm\\ B=48m{m}^2\end{array}$

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 of pyramid: $w$

Length of pyramid: $l$

Height of pyramid: $h$

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

Calculation:

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

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

Put the given data in eq.

  $\begin{array}{l}V=\frac{Bh}{3}\\ V=\frac{48\times 25}{3}\\ V=400m{m}^3\end{array}$

Conclusion:

Hence, the volume of the pyramid is $400m{m}^3$ .