Question

The length, breadth and height of a cuboidal box are in the ratio 2:3:4 the volume of a box is 31944 cm cube . Find the dimensions of the cuboid

Answer 1

$let \: \: l = 2x \: \: \: b = 3x \: \: \: h = 4x \\ given \: \: 2x \times 3x \times 4x = 31944 \\ {x}^{3} = \frac{31944}{2 \times 3 \times 4} = 1331 \\ x = \sqrt[3]{1331} = 11 \\ therefore \\ length = 2 \times 11 = 22 \: cm \\ breadth = 3 \times 11 = 33 \: cm \\ height = 4 \times 11 = 44 \: cm$

Answer 2

length 22cm breadth 33cm height 44cm

Step-by-step explanation:

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