To solve this problem, you must follow the proccedure below:
1. T<span>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</span>³ <span> s is the side of the cube (s=9)
2. Therefore, you have:
V1=s</span>³ V1=(9 inches)³ V1=729 inches³ <span> 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 </span><span> 5. The amount of wood that was left after the hole was cut out, is: </span> Vt=V1-V2 Vt=648 inches³
When you have something like this, to simplify the exponent you multiply them together, so the exponent is 1/3 x 1/5. 1/3 x 1/5 is 1/15, so the simplified expression is: Hope this helps!
