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Zarrin [17]
1 year ago
12

The dimensions of a right rectangular prism are shown below. 1 in. 1a in. 2 in. in. How many cubes with side lengths of inch are

needed to fill the prism without gaps or overlaps?

Mathematics
1 answer:
Dafna1 [17]1 year ago
3 0

First we neeed to find the volume of the rectangular prism

V=\text{ l}\times w\times hV=1\times1\frac{1}{6}\times2\frac{1}{6}=1\times\frac{7}{6}\times\frac{13}{6}=\frac{91}{36}in^3

Volume of cube with side lengths 1/6 = 1/6 x 1/6 x 1/6 = 1/216

The number of cubes needed to fill the prism without gaps or overlaps =

=\frac{91}{36}\text{  divide by }\frac{1}{216}=\frac{91}{36}\times\frac{216}{1}=\frac{19656}{36}=546

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