Asked by Josh
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
height in
length in
width in
Answers
Answered by
Henry
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.
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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