Question

Find the volume of the given right prism. Look at photo for accurate description

Answer 1

From the diagram given, we have a right prism labelled as follows;

$\begin{gathered} Side\text{ lengths}=9 \\ \text{Height}=17 \end{gathered}$

The volume is calculated by multiplying the area of the triangle by the height.

The area of the triangle given two sides is;

$\begin{gathered} \text{Area of a triangle}=\frac{1}{2}bh \\ b=9,h=9 \\ \text{Area}=\frac{1}{2}\times9\times9 \\ \text{Area}=\frac{81}{2} \\ \text{Area}=40.5units^2 \end{gathered}$

Therefore, the volume of the right prism is;

$\begin{gathered} \text{Volume}=\text{Ah} \\ \text{Where,} \\ A=\text{area of triangle} \\ h=\text{height of prism} \\ \text{Volume}=40.5\times17 \\ \text{Volume}=688.5units^3 \end{gathered}$

ANSWER:

The volume of the right prism is 688.5 units cubed