Chapter 12.2, Problem 21PPS

To determine

The volume value of the each figure:

  

Answer to Problem 21PPS

The volume of the rectangular prism is $972m^3$ .

Explanation of Solution

Given:

  $\begin{array}{l}{l}_1=9m\\ w_1=2m\\ h_1=6m\\ l_2=16m\\ w_2=9m\\ h_2=6m\end{array}$

Concept Used:

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

  $V=l\times w\times h$

Where,

Length of rectangular prism: $l$

Width of rectangular prism: $w$

Height of rectangular prism: $h$

Calculation:

The volume of the rectangular prism is calculated by using the follwoing formula:

  $V=l\times w\times h$

  

Volume of rectangular prism 1:

  $\begin{array}{l}{V}_1=l_1{w}_1{h}_1\\ V_1=9\times 2\times 6\\ V_1=108m^3\end{array}$

Volume of rectangular prism 2:

  $\begin{array}{l}{V}_2=l_2{w}_2{h}_2\\ V_2=16\times 9\times 6\\ V_2=864m^2\end{array}$

So, total volume of the rectangular prism is:

  $\begin{array}{l}V=V_1+V_2\\ V=108m^3+864m^3\\ V=972m^3\end{array}$

Conclusion:

Hence, the volume of the rectangular prism is $972m^3$ .