Chapter 12.2, Problem 11PPS

To determine

To find: the volume of the given figure

Answer to Problem 11PPS

Thevolume of the figureis $120{\text{ cm}}^3$ .

Explanation of Solution

Given:

  

Formula used:

The volume V is $V=Bh$

Calculation:

The objective is to find the volume of the figure.

The volume V is given by the formula

  $V=Bh$

Where B is the area of a face and h is the height.

From the figure the area B is are of the triangle whose sides are 10 cm and 3 cm.

The area B is the right-angle triangle is given by

  $\begin{array}{l}B=\frac{1}{2}a\cdot b\text{ Where }a\text{ and }b\text{ are the triangle whose sides are 10cm and 3cm}\text{.}\\ =\frac{1}{2}\cdot 10\cdot 3\\ =15\end{array}$

Put $B=15$ and $h=8$ in the volume formula to find the volume.

Thus, the volume V is

  $\begin{array}{l}V=Bh\\ =15\cdot 8\\ =120\end{array}$

Conclusion:

Therefore, thevolume of the figure is $120{\text{ cm}}^3$ .