Question

Elijah bought earrings to give to his mother for her birthday. The earrings are in a case shaped like a rectangular prism that is 2 inches long, 1

1

2
inches wide, and 1
1

2
inches tall. He doesn't want his mother to guess what the gift is, so he put the case in a larger, cube-shaped gift box. The gift box is 4 inches along each edge.
What is the volume of the extra space left in the gift box?

Answer 1

59.5 in³

Explanation:

You want the extra space inside a 4-inch cube after a box 2 inches long, 1.5 inches wide and 1.5 inches tall is placed inside.

Volume

The volume of each box is the product of its dimensions:

Cube: (4 in)(4 in)(4 in) = 64 in³

Smaller box: (2 in)(1.5 in)(1.5 in) = 4.5 in³

Space

The extra space in the larger box is ...

64 in³ -4.5 in³ = 59.5 in³

The volume of extra space left in the gift box is 59.5 cubic inches.

<95141404393>