Bradley cut a square hole out of a block of wood in wood shop. If the block was cube-shaped with side lengths of 9 inches, and the hole had side lengths of 3 inches, how much wood was left after the hole was cut out?

To solve this problem, you must follow the proccedure below:

1. T he block was cube-shaped with side lengths of 9 inches and to calculate its volume (V1), you must apply the following formula:

V1=s ³

s is the side of the cube (s=9)

2. Therefore, you have:

V1=s ³

V1 = (9 inches) ³

V1=729 inches³

3. The lengths of the sides of the hole is 3 inches. Therefore, you must calculate its volume (V2) by applying the formula for calculate the volume of a rectangular prism:

V2=LxWxH

L is the length (L=3 inches).

W is the width (W=3 inches).

H is the heigth (H=9 inches).

4. Therefore, you have:

V2 = (3 inches) (3 inches) (9 inches)

V2=81 inches

5. The amount of wood that was left after the hole was cut out, is:

Vt=V1-V2

Vt=648 inches³