A storage container is a rectangular prism that is 65 centimeters long and 40 centimeters wide. The volume of the container is 62,400 cubic centimeters. What is the height of the container?

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A storage container is a rectangular prism that is 65 centimeters long and 40 centimeters wide. The volume of the container is 62,400 cubic centimeters. What is the height of the container?

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Answer 1 · 2018-04-09T04:47:54

Please look below.

Explanation:

The volume of a rectangular prism can be determined with the following formula:
$V = a b c$ $V = abc$

You are given the length of two sides $a = 65$ $a = 65$ $c m$ $cm$ , $b = 40$ $b = 40$ $c m$ $cm$ , and the volume of the rectangular prism $V = 62, 400$ $V = 62,400$ $c m^{3}$ $cm^3$ . Substituting these values into the formula and then rearranging gives you the value of the third side.

$62400 = 65 \times 40 \times c$ $62400 = 65 xx 40 xx c$

$\frac{62400}{65 \times 40} = c$ $(62400)/(65xx40) = c$

$c = 24$ $c= 24$ $c m$ $cm$

So the height of the rectangular prism is $24$ $24$ $c m$ $cm$ .

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A storage container is a rectangular prism that is 65 centimeters long and 40 centimeters wide. The volume of the container is 62,400 cubic centimeters. What is the height of the container?

1 Answer

Explanation:

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