Asked by Shizerika

A box with a square base and no top is to be made from a square piece of carboard by cutting 7 in. squares from each corner and folding up the sides. The box is to hold 1008 in3. How big a piece of cardboard is needed?

Answered by Anonymous
side length = s
box bottom area = (s-14)^2
box volume = 7 * (s-14)^2 = 1008
so
(s-14)^2 = 144
s-14 = 12
s = 26
Answered by Anonymous
let "O" = 7 (Side)
let "P" = 14 (because you had to multiply 7 by 2)
let "C" = Volume
let "X" = The variable your looking for
Equation: O(X-P)^2= C
Setup: 7(X-14)^2=1008
Solve accordingly to PEMDAS
Your final answer should arrive at 26.
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