the Length breadth and height of the cuboid are in the ratio 5 3 2 the volume of cuboid its 15362cm3 find the Length breadth and height of the cuboid
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Answer:
Length= 5x
Breadth=3x
Height=2x
so the volume is 5x×3x×2x or 30x^3
so 30x^3 = 15362cm^3
so x^3= 15362÷30 which is 512 approx.
so we can take x as the cube root of 512
so x = ∛512
or
8cm
so length = 5x = 5×8=40cm
breadth = 3x = 3×8=24cm
height = 2x = 2×8=16cm
hope it helps
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