find the ratio of Volume of a cuboid to that of its original cuboid's Volume, if its length is doubled breadth is four times and height is reduced to half.
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Answer:
The ratio of Volume of a cuboid to that of its original cuboid's Volume is 4
Step-by-step explanation:
Given : Volume of original cuboid V₁ = LBH
if its length is doubled, breadth is four times and height is reduced to half
then Length = 2L, Breadth = 4B & Height = 0.5H
∴ V₂ = Length x Breadth x Height
= 2L x 4B x 0.5H
= 2x4x0.5 x LBH
= 4LBH
∴ Ratio = Volume of new cuboid/volume of original cuboid
= V2/V₁
= 4LBH/LBH
= 4
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