Question

The ratio of the length breath height is 5:3:2. If its volume is 3750 cm³. Find the length, breadth and height. (Show working) ​

Answer 1

Answer:

let the length be 5x

let the breadth be 3x

let the height be 2x

according to question,

volume = lxbxh

3750 = 5x x 3x x 2x

3750 = 30x^3

3750/30=x^3

125 = x^3

x=5 cm

so, length = 5x

= 5x5

= 25 cm

breadth = 3x5

= 15 cm

height = 2x5

= 10 cm

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Answer 2

Answer:

So let the length be 5x, breadth be 3x and height be 2x.

Step-by-step explanation:

now, volume = lbh

so, 3750cm³=5x×3x×2x

3750=30x³

x³=3750/30

x³=125

x=5

Hence, length=5x=25cm

breadth=3x=15cm

height=2x=10cm