A box with a square base and no top is to be made from a square piece of carboard by cutting 6 in. square from each corner and folding up the sides. The box is to hold 5046 cubic inches. How big a piece of cardbooard is needed?
i need the answer in inches by inches
2007-09-16 04:48:27 · 3 answers · asked by star baller 360 5 in Science & Mathematics ➔ Mathematics
Let x+12 = side of cardboard square needed
Then when 6 " squares are cut fro each corner and folde up a box is formed with base =x^2 and height = 6".
Hence V= 6x^2 = 5046
x^2 = 841
x = 29 inches
So sides of cardboard square are each 29+12 =41 inches
2007-09-16 05:02:03 · answer #1 · answered by ironduke8159 7 · 0⤊ 0⤋
The height is given as 6, so the area of the base is 5046/6 = 841
sqrt(841) = 29
The cardboard must be 29 + 6 + 6 (base + corners) on each side
41 in by 41 in
2007-09-16 05:06:02 · answer #2 · answered by Anonymous · 0⤊ 0⤋
6 inches is the height of the box and we are told the bottom is a square so the length and width are the same.
l x w x h = 5046, fill in what we know
l x w x 6 = 5046, divide by 6
l x w = 841, we know that length and width are the same so
length^2 = 841, find the square root
length = 29
length = 29 inches
width = 29 inches
height = 6 inches
2007-09-16 04:53:16 · answer #3 · answered by sfroggy5 6 · 1⤊ 0⤋