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Alisiya [41]
3 years ago
12

A rectangular prism has a length of 8 in., a width of 4 in., and a height of 214 in.

Mathematics
2 answers:
forsale [732]3 years ago
8 0

Answer:

2.5 is the answer

Step-by-step explanation:

I go to k12

Svet_ta [14]3 years ago
3 0
<h3>2\frac{1}{2}  or 2.5 cubes are needed to fill the rectangular prism</h3>

<em><u>Solution:</u></em>

<em><u>A rectangular prism has:</u></em>

Length = 8 inches

width = 4 inches

height = 214 inches

<em><u>Find the volume of rectangular prism </u></em>

volume = length \times width \times height\\

volume = 8 \times 4 \times 214\\\\volume = 6848\ in^3

<em><u>Find the volume of cube:</u></em>

volume = a^3

Where, "a" is the length of side of cube

a = 14 inches

volume = 14^3\\\\volume = 2744\ in^3

<em><u>How many cubes are needed to fill the rectangular prism?</u></em>

\text{ number of cubes } = \frac{\text{ volume of rectangular prism }}{\text{ volume of cube }}

\text{ number of cubes } = \frac{6848}{2744} = 2.49 \approx 2.5

Thus, 2\frac{1}{2} cubes are needed to fill the rectangular prism

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