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Question
The internal dimensions of a rectangular box are 12 cm x `x` cm x 9 cm. If the length of the longest rod that can be placed in this box is 17 cm; find `x`.
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Solution
Length of longest rod = Length of the diagonal of the box
17 = `sqrt(12^2 + x^2 + 9^2)`
172 = 122 + x2 + 92
x2 = 172 - 122 -92
x2 = 289 - 144 - 81
x2 = 64
x = 8 cm
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