SOLUTION: Find the volume of a rectangular box whose base is 7 ft. long and 6 ft. wide and whose diagonal is 10 ft.

Question 803029: Find the volume of a rectangular box whose base is 7 ft. long and 6 ft. wide and whose diagonal is 10 ft.
Answer by wilft1(217) (Show Source): You can put this solution on YOUR website!
volume is length x width x depth
to find the depth on this, we will use the pathagorias theorm for triangle leg lengths
a^2 + b^2 = c^2
we have our a length and c length, lets solve for b
7^2 + b^2 = 10^2
49 + b^2 = 100
subtract 49 from both sides
b^2 = 51
b = 7.14
so, our height is 7.14, or the square root of 51
lets plug our newfound number into the equation and find the volume...
7 x 6 x 7.14 = 299.88 cubic feet
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