Chapter 12, Problem 2E

To determine

To calculate:To find the volume of the shed

Answer to Problem 2E

Volume of shed is $480f{t}^3$

Explanation of Solution

Given information:Shed is the shape of model as below

  

Formula Used:

Volume of prism is given by the below formula:

  $Volume=BaseArea\times Height$

Calculation:

Given a shed as follows:

  

Volume of shed is calculated as follows:

  $Volume=BaseArea\times Height$

Here base of shed is in shape of trapezium

Substituting the values, volume is

  $\begin{array}{l}Volume=\left(\frac{1}{2}\times \left(6+9\right)\times 8\right)\times 8\\ Volume=\left(\left(15\right)\times 4\right)\times 8\\ Volume=60\times 8\\ Volume=480f{t}^3\end{array}$

Conclusion:

Hence, Volume of shed is $480f{t}^3$

Correct option is H