Chapter SH, Problem 12.4.5EP

To determine

To find: the volume of the rectangular pyramid.

Answer to Problem 12.4.5EP

The required volume is $108{\text{in}}^3$ .

Explanation of Solution

Given:

Length of the pyramid is 6 in.

Width is 6 in.

Height is 9 in.

Calculation:

Volume of the pyramid is

  $V=\frac{1}{3}Bh$

Here B is the area of the base and h is the height.

Here base is a rectangle.

Area of the rectangle is $\text{length}\times \text{width}$ .

  $\begin{array}{c}B=\text{length}\times \text{width}\\ =6\times 6\\ =36\end{array}$

Height of the pyramid is h = 9 in

Volume is $V=\frac{1}{3}Bh$ .

  $\begin{array}{c}V=\frac{1}{3}\times 36\times 9\\ =36\times 3\\ =108\end{array}$

Conclusion:

Hence, the required volume is $108{\text{in}}^3$ .