Question

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

Answer 1

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Answer:

432 cubes.

Explanation:

Volume of rectangular prism: V = l × w × h

V = 9 × 4 × 1.5

V = 54 in³

Volume of cubes: V = s³

V = 1/2³

V = 1/8 in³

Set up an equation to solve for the # of cubes needed (x):

54 = 1/8x

Divide both sides by 1/8:

54 × 8/1 = x

x = 432 cubes.