Asked by Broham

a box has a surface area of 184 sq in give the dimensions it could have for its length width and height hint find three areas that add up to 92 square inches

Answers

Answered by Reiny
we know that 2lw + 2lh + 2wh = 184
or
their hint: lw + lh + wh = 92
there would be an infinite number of solutions,
e.g.

let w = 4, l = 8, then
4(8) + 8h + 4h = 92
12h = 60
h = 5

so length = 8, width = 4, and height = 5
check: 4*8 + 4*5 + 8*5 = 92

let w = 1, h = 6
l + 6l + 6 = 92
7l = 86
l = 86/7
so length = 86/7 , width = 1, height = 6
check: (86/7)(1) + (86/7)(6) + 6 = 92

etc
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