Question

Find the volume of the figure.

Answer 1

7777.5 ft^3

Explanation:

First, separate the solid into two, the triangular prism and the rectangular prism. Then, find the area of both solids.

`A_(triangular prism)=BA *h`

`A_(triangular prism) = ((1)/(2) * 17 * 19) *15`

`A_(triangular prism)=161.5*15`

`A_(triangular prism)=2422.5ft^3`

`A_(rectangular prism) = l * w * h`

`A_(rectangular prism)=17*15*21`

`A_(rectangular prism)=5355ft^3`

Finally, add together both values

`A_(total)=A_(triangular prism)+A_(rectangular prism)`

`A_(total)=2422.5+5355`

`A_(total)=7777.5ft^3`