SOLUTION: An open-topped box is constructed froma square piece of cardboard by removing a square of size 5 inches from each corner and turning up the edges. If the box is to hold 9,680 i

Question 1196695: An open-topped box is constructed froma square piece of cardboard by removing a square of size 5 inches from each corner and turning up the edges.
If the box is to hold 9,680 in3, how big should the originial piece of cardboard be?
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

The volume will be

We are cutting inches from each corner, so the length and width will each be
.
The height will be .
if , then

........take square root of both sides

The piece of cardboard needed will be by inches.

Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

Let x be the length of a side of the box; then the volume 9680 is 5x^2.

5x^2 = 9680
x^2 = 9680/5 = 1936
x = sqrt(1936) = 44

Since 5 inches were cut out of each corner of the original piece of cardboard, the side length of the original piece of cardboard was 44+2(5) = 54 inches.

ANSWER: 54 inches

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