Question

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

Answer 1

To find the volume, we will apply the formula:

`\text{Volume}=\text{Area of base triangle }*\text{ height}`
`\begin{gathered} \text{Area of the base triangle = }\frac{base\text{ }*\text{ height}}{2} \\ =(3*5)/(2) \\ =(15)/(2) \\ =7.5in^2 \end{gathered}`

Height of the figure = 12in

Therefore, volume is:

`\begin{gathered} \text{Area of base triangle }*\text{ height} \\ =7.5in^2*12in \\ =90in^3 \end{gathered}`

Therefore the volume is 90 cubic inches.