Question 269127: A rectangular box with no top has height 4 feet. The length of the base is three
times the width, and the volume is 300 cubic feet. Find the amount of cardboard
needed to construct the box, and label your answer with appropriate units
Answer by Earlsdon(6294)   (Show Source):
You can put this solution on YOUR website! The volume of the open-top box (V) is given as 300 sq.ft.
For a rectangular prism (a box), the volume is given by:
 and, in this problem, V = 300 sq.ft., h = 4 ft., W = W and L = 3W, so...
 Simplify.
 Divide by 12.
 and...
 ft. (Discard the negative solution from the square root).
 ft.
So, to construct an open-top box with the foregoing dimensions, you would need to start with a rectangular sheet of cardboard with a length (l) of L+2h and a width (w) of W+2h, so...
 and...
The initial sheet of cardboard has to be 23ft. by 13ft, from which you would cut the four corners measuring 4ft. by 4ft.
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