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
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
1 answer