Math, asked by nichu416, 1 year ago

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

Answers

Answered by BEJOICE
7

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
Answered by rk3574056
0

length 22cm breadth 33cm height 44cm

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