Question

a lenght ,breadth and height of cuboid are in the ratio 5:4:2.find its demention if its volume is 5000.​

Answer 1

Let the length be 5x

Breadth = 4x

Height = 2x

$volume \: ofcuboid \: = lbh \\ \\ 5000 = 5x \times 4x \times 2x \\ \\ 5000 = {40x}^{3} \\ \\ {x}^{3} = \frac{5000}{40} \\ \\ {x}^{3} = 125 \\ \\ x = \sqrt[3]{125} \\ \\ x = 5$

Therefore

l = 5(5) = 25

b = 4(5) = 20

h = 2(5) = 10

Hope it helps.

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Answer 2

Let the length of the cuboid be 5x, and the breadth be 4x and the height be 2x.

Volume of the cuboid = 5x × 4x × 2x cubic units.

By the given condition,

5x × 4x × 2x = 5000

=> 40x^3 = 5000

=> x^3 = 5000/40 = 125

=> x = 5

Therefore the dimensions of the cuboid are-

length = 25

breadth = 20

height = 10.

Hope this helps you friend...

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