Complete Question
A truck is being filled with cube-shaped packages that have side lengths 1/4 foot. The part of the truck that is being filled is in the shape of a rectangular prism with dimensions 8ft × 6 1/4 ft × 7 1/2 ft. Find the number of cubes that can fill that part of the truck
Answer:
1500 cubes
Explanation:
Step 1
Find the volume of the cube
V = side length ³
V = (1/4 ft)³
V = 1/64
Step 2
Find the volume of the rectangular prism
= Length × Width × Height
= 8ft × 6 1/4 ft × 7 1/2 ft
= 8 × 25/4 × 15/2
= 375 ft³
Step 3
Number of cubes in the truck
Volume of the Rectangular Prism ÷ Volume of the cube
= 375ft³ ÷ 1/4ft³
= 375 × 4
= 1500 cubes
Therefore, the number of cubes that can fill that part of the truck(Rectangular prism) = 1500 cubes