Suppose you have the same box with a volume of 400
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.
3
in.
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and a height of 5 in. You now also know that the box is 8 in. wide. What is the length of the box?
To find the length of the box, we can use the formula for the volume of a rectangular prism:
Volume = length x width x height
Given:
Volume = 400 in^3
Height = 5 in
Width = 8 in
Substitute the given values into the formula:
400 = length x 8 x 5
Simplify:
400 = 40 length
Now, divide by 40 on both sides to solve for length:
length = 400 / 40
length = 10 in
Therefore, the length of the box is 10 inches.