The ratio of the length breadth and height of a cuboid is 5 ratio 3 ratio 2 if its volume is 3750 cm cube find the length breadth and height of the cuboid
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Step-by-step explanation:
Let the length be 5x, breadth 3x and height 2x.
Now, volume of a cuboid = lbh.
5x * 3x * 2x = 3750
30x^3 = 3750
x^3 = 125
x = 5 cm
So, length = 25 cm, breadth = 15 cm and height = 10 cm.
Verification: lbh = 25 * 15 * 10 = 3750 cm^3
Hence verified!
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