Chapter 12, Problem 23SGR

To determine

To calculate:To find the volume of the figure and round to the nearest tenth

Answer to Problem 23SGR

The volume of figure is $15$ cubic feet

Explanation of Solution

Given information:Figure is

Formula Used:

Volume of pyramid with square base is given by the below formula:

  $Volume=\frac{Length\times Width\times Height}{3}$

Calculation:

Figure is given as follows:

Here, dimensions of cone as follows:

  $\begin{array}{l}Sideofbase=3ft\\ Height=5ft\end{array}$

Volume of prism is calculated as follows:

  $Volume=\frac{Length\times Width\times Height}{3}$

Substituting the values, volume is

  $\begin{array}{l}Volume=\frac{3\times 3\times 5}{3}\\ Volume=\frac{3\times 1\times 5}{1}\\ Volume=15\end{array}$

Conclusion:

Hence, volume of figure is $15$ cubic feet