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andrey2020 [161]
4 years ago
12

A right rectangular prism's edge lengths are 9 inches, 9 inches, and 3 1/3 inches. How many unit cubes with edge lengths of 1/2

inch can fit inside the prism?
Mathematics
1 answer:
prisoha [69]4 years ago
5 0

ANSWER

2160 cubes

EXPLANATION

The given rectangular prism has edge lengths,

9 inches,9inches and 3⅓ inches.

The volume of this rectangular prism is

V = 9 \times 9 \times  \frac{10}{3}

V = 3 \times 9 \times  10 = 270 {in}^{3}

A cube with unit edges of length

\frac{1}{8}

has volume.

v =  {( \frac{1}{8}) }^{3}  =  \frac{1}{8}

The number of unit cubes that can go into the prism is

=  \frac{270}{ \frac{1}{8} }  = 2160

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