Find the length of the longest diagonal (in cm) of a cuboidal box of dimensions 1.2 cm × 1.3 cm × 1.5 cm (correct to two decimal places).

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Accepted Answer

The longest diagonal d of a cuboid with sides a, b, and c is given by the formula:

d = √(a² + b² + c²)

Given dimensions:
a = 1.2 cm
b = 1.3 cm
c = 1.5 cm

Calculate:
a² = 1.2² = 1.44
b² = 1.3² = 1.69
c² = 1.5² = 2.25

Sum = 1.44 + 1.69 + 2.25 = 5.38

d = √5.38 ≈ 2.3205 cm

Rounded to two decimal places, the diagonal length is 2.32 cm.

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