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. The block was cube-shaped with side lengths of 9 inches and to calculate its volume (V1), you must apply the following formula:
V1=s³ s is the side of the cube (s=9)
2. Therefore, you have:
V1=s³ 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:
