Question

What is the volume, in cubic inches, of the right triangular prism shown below?12 in5 in sA45B 60С90D180

Answer 1

SOLUTION

To find the volume, we will apply the formula:

$\text{Volume}=\text{Area of base triangle }\times\text{ height}$$\begin{gathered} \text{Area of the base triangle = }\frac{base\text{ }\times\text{ height}}{2} \\ =\frac{3\times5}{2} \\ =\frac{15}{2} \\ =7.5in^2 \end{gathered}$

Height of the figure = 12in

Therefore, volume is:

$\begin{gathered} \text{Area of base triangle }\times\text{ height} \\ =7.5in^2\times12in \\ =90in^3 \end{gathered}$

Therefore the volume is 90 cubic inches.