SOLUTION: A rectangular piece of cardboard is 15 inches longer than it is wide. If 5-inch squares are cut from each corner and the remaining piece folded up to form a box the volume of the b
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Question 926122: A rectangular piece of cardboard is 15 inches longer than it is wide. If 5-inch squares are cut from each corner and the remaining piece folded up to form a box the volume of the box is 1250 cubic inches. Find the dimensions of the piece of the box.
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Try to draw a picture.
L for length, w for width.
L=w+15.
Height will be same as the edge of one of the removed squares, 5 inches.
Base of the box will be
The expression for the volume is .
This is the given volume value;
.
Solve that for w.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the width in inches of the cardboard
= the length in inches of the cardboard
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When the in squares are cut out, in
gets subtracted from both the length and width.
The height when the sides are folded up, is in
-------------------
----------------------
Use quadratic formula
----------------
The dimensions are:
10 x 25 x 5
------------
check:
OK
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