Chapter 12.3, Problem 31SR

To determine

Volume of given figure.

Answer to Problem 31SR

Volume of triangular prism is $5200f{t}^3$

Explanation of Solution

Given:

Length of the triangular prism $=32ft$

Height of the triangular prism $=13ft$

Breadth of the triangular prism $=25ft$

Concept Used:

Volume of cylinder is calculated by,

  $V=\frac{BHL}{2}$

Where,

  $V=$ volume of prism.

  $B=$ breadth of prism.

  $h=$ height of prism.

  $L=$ length of prism.

Calculation:

Volume of triangular prism is calculated as,

  $V=\frac{BHL}{2}$

Put the given values In formula

  $\begin{array}{l}V=\frac{BHL}{2}\\ V=\frac{25\times 13\times 32}{2}\\ V=5200f{t}^3\end{array}$

Thus volume of triangular prism is $5200f{t}^3$

Conclusion:

Thus, volume of triangular prism is $5200f{t}^3$