Chapter 12.4, Problem 13PPS

To determine

The volume of rectangular pyramid whose length, width and height are $3.5ft,2ft,4.5ft$ respectively.

Answer to Problem 13PPS

The volume of the rectangular pyramid is $15.75f{t}^3$

Explanation of Solution

Given:

  $\begin{array}{l}l=3.5ft\\ w=2ft\\ h=4.5ft\end{array}$

Concept Used:

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

  $V=\frac{lwh}{3}$

Where,

Length of rectangular pyramid: $l$

Width of rectangular pyramid: $w$

Height of rectangular pyramid: $h$

Calculation:

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

  $V=\frac{lwh}{3}$

Put the given data in eq.

  $\begin{array}{l}V=\frac{lwh}{3}\\ V=\frac{3.5\times 2\times 4.5}{3}\\ V=15.75f{t}^3\end{array}$

Conclusion:

Hence, the volume of the rectangular pyramid is $15.75f{t}^3$