Posted by **Josh** on Monday, April 4, 2011 at 9:30am.

If an open box has a square base and a volume of 106 in.3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction. (Round your answers to two decimal places.)

height in

length in

width in

- CaSWincelculus -
**Henry**, Tuesday, April 5, 2011 at 10:26pm
V = L*W*H = 106in^3,

Since the base is square,

W = H.

L*W*W = 106,

L*W^2 = 106,

To minimize the material,

let L = W:

W*W*W = 106,

W^3 = 106,

W = crt(106) = 4.73in.

L = 4.73in.

H = 4.73in.

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