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Chloe has 20 unit cubes. how many different rectangular prisms can she build with the cubes?

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W0lf93
We must recall that to a rectangular prism has a volume of V = L(W)(H). Since Chloe has 20 unit cubes, this means she can as many prisms as long as they satisfy 20 = L(W)(H). Listing down the prime factors of 20, we have 20 = 1 x 2 x 2 x 5. We can group them into three and list down the possible combinations as shown below. 1 x 4 x 5 = 20 | 1 x 2 x 10 =20 | 2 x 2 x 5 = 20 | 1 x 1 x 20 = 20 The rest are just rearrangement of the four above. That means Chloe can build 4 different types of prism. The following choices for this question were retrived from another source. A. 4 B. 5 C. 10 D. 20 Then, the answer would be A: 4.
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