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help with a math problem?
I tried solving this one on my own and failed miserably. could someone please show me how to solve this step by step?
A certain rectangular box has a volume of 144 cubic inches, a surface area of 192 square inches, and a height one inch greater than its width. What is the distance from one corner of the box to the diagonally opposite corner?
1 Answer
- 8 years ago
h = w + 1 .. both in inches
l = length
(w + 1)(lw) = 144
and
2(lw + w(w + 1) + l(w + 1)) = 192
Solve for those first, then
Get diagonal for right triangle with sides l, w ... call that d
then
Get diagonal for right triangle with sides d, h ... call that (big) D
which is your answer
