Question

A rectangular prism has a length of 8 inches a width of 4 inches and a height of 2 1/4 inches. The prism is filled with cubes that have edge lengths of 1/4 inches. How many cubes are needed to fill the rectangular prism

Answer 1

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Number of 1/4 inches cubes length-wise:
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$4 \div \dfrac{1}{4}$

$=4 \times 4$

$=16$

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Number of 1/4 inch cubes width-wise:
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$8 \div \dfrac{1}{4}$

$=8 \times 4$

$=32$

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Number of 1/4 inch cubes height-wise:
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$2\dfrac{1}{4} \div \dfrac{1}{4}$

$=\dfrac{9}{4} \times \dfrac{4}{1}$

$=9$

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Total number of 1/4 inch cubes:
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16 x 32 x 9 = 4608

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Answer: 4608 cubes are needed to fill the rectangular prism
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Answer 2

Answer: 4068

Step-by-step explanation: