Question

What is the volume of the solid figure?

Answer 1

`625 \: {in}^(3)`

Explanation:

This figure is formed from a cube and a rectangular prism

First, we can find the volume of the cube:

(l (side length) = 5 in)

`v(cube) = {l}^(3 ) = {5}^(3) = 125 \: {in}^(3)`

Now, let's find the volume of the rectangular prism:

(h = 5 in; a (base area) = 20 × 5 = 100 in^2)

`v(prism) = a(base) * h`

`v(prism) = 100 * 5 = 500 \: {in}^(3)`

In order to find the total volume of this figure, we have to add these two volumes together:

`v(total) = v(cube) + v(prism)`

`v(total) = 125 + 500 = 625 \: {in}^(3)`