Question

the ratio of the length , breadth and height of a cuboid is 4:3:2 . If its volume is 1536cm cm find the length , breadth and height of the cuboid

Answer 1

4x*3x*2x=1536
24x*x*x=1536
x*x*x=1536/24
x=4
16. 12. 8

Answer 2

Let the length be 4x.
And, the breadth be 3x.
And, the height be 2x.
Volume of cuboid = l×b×h
A.T.Q
= l×b×h = 4x×3x×2x
= 4x×3x×2x = 1536
= 24x^3 = 1536
= x^3 = 1536/24
= x^3 = 64
= x = 3√64
= x = 4.
Length = 4x = 4×4 = 16cm.
Breadth = 3x = 3×4 = 12cm.
Height = 2x = 2×4 = 8cm.

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