SOLUTION: The length of a rectangular solid is three times the width and the height is twice the width. Find the volume and the length of its diagonal if the total surface area is 198 in2.

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Question 1085021: The length of a rectangular solid is three times the width and the height is twice the width. Find the volume and the length of its diagonal if the total surface area is 198 in2.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Dimensions:
3w, w, 2w

Total Surface Area:
2%2A3w%2Aw%2B2%2Aw%2A2w%2B2%2A3w%2A2w=198
6w%5E2%2B4w%5E2%2B12w%5E2=198
22w%5E2=198
w%5E2=9
highlight%28w=3%29


Now, dimensions are known:
9, 3, 6

The diagonal?
sqrt%289%5E2%2B3%5E2%2B6%5E2%29
.
.