Question

A rectangular prism has a length of 9 in., a width of 4 in., and a height of 1 1/2 in. The prism is filled with cubes that have edge lengths of 1/2 in. How many cubes are needed to fill the rectangular prism? Enter your answer in the box. To fill the rectangular prism, cubes are needed.

Answer 1

Answer:

Volume of rectangular prism = L × B × H

• 9 × 4 × 1.5
• 54in³

Now,

Volume of cube = a³

• 0.5 × 0.5 × 0.5
• 0.125in³

So,

No. of small cubes to be filled = 54in³/0.125in³

• 54/0.125
• 432

Hence, 432 cubes of edge 1/2 inches can be filled.

Answer 2

Answer: 432 cubes

Step-by-step explanation: