A cuboid has a diagonal of length 9cm and a square base of side 4cm. What is its height?
The formula for calculating the diagonal of a cuboid is given by : \(\sqrt{l^2 + w^2 + h^2}\)
where w = width, l = length and h = height
9 = \(\sqrt{l^2 + w^2 + h^2}\)
81 = 4\(^2\) + 4\(^2\) + h\(^2\)
81 - 16 - 16 = h\(^2\)
h\(^2\) = 49
h = \(\sqrt{49}\) = 7cm
NOTE:[l = w = 4 (square base)]
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