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Korvikt [17]
4 years ago
5

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 e

dge lengths of 1/2 in. How many cubes are needed to fill the rectangular prism?
Mathematics
1 answer:
Ludmilka [50]4 years ago
3 0

Hey there! :)

Answer:

432 cubes.

Step-by-step 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.

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