How many 1/ 4-inch cubes does it take to fill a box with width 2 1/ 4 inches, length 2 1/ 2 inches, and height 1 3/ 4 inches?

630.

Step-by-step explanation:

Given the following data;

Dimensions for cube = ¼ inches

Volume = 1/64 cubic inches.

For rectangular box;

Length = 2½ = 5/2 inches.

Width = 2¼ = 9/4 inches.

Height = 1¾ = 7/4 inches.

Volume = 315/32 inches

Therefore, to find the amount of cubes;

Substituting into the equation, we have;

Number of cubes = 630

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