Question

Find the volume of this figure.

Answer 1

The volume of the figure is
`320\ units^(3)`

Explanation:

we know that

The figure is a pyramid

The volume of a pyramid is equal to

`V=(1/3)BH`

where

B is the area of the rectangular base of pyramid

H is the height of pyramid

Find the area of the base B

The area of the base B is equal to

`B=AB*AC`

we have that

`AB=8\ units` ---> see the graph

`AC=10\ units` ---> see the graph

substitute

`B=8*10=80\ units^(2)`

we have

`H=EF=12\ units` ---> see the graph

Find the volume

`V=(1/3)(80*12)=320\ units^(3)`