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31 votes
A box in the shape of a right rectangular prism has a volume of 60 cubic inches. The height of the box is 3 inches, and the width is 4 inches. What is the length, in inches of the box?

User Nymous
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1 Answer

10 votes
10 votes

In order to find the length of the rectangular prism, take into account the following formula for the volume of the prism:

V = l · w · h

where, in this case, you have:

l: length = ?

w: width = 4 in

h: height = 3 in

V: volume = 60 in³

Solve for l in the formula for V, by dividing by w·h both sides

V/(w·h) = l

l = V/(w·h)

replace the values of the parameters to obtain l:

l = (60 in³)/(4 in · 3 in ) = 5 in

Hence, the length of the rectangular prism is 5 in

User Luis Elizondo
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