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Question

The volume of a cuboid is 1536 m3. Its length is 16 m, and its breadth and height are in the ratio 3:2. Find the breadth and height of the cuboid.

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Solution

It is given that

Volume of cuboid =1536 m3

Length of cuboid =16m

Consider breadth as 3x and height 2x

We know that

Volume of cuboid =1×b×h

By substituting the value

1536=16×3x×2x

On further calculation

1536=96x2

So we get

x2=153696

x2=16

By taking the square root

x=16

We get

x=4m

Substituting the value of x

Breadth of cuboid =3x=3(4)=12m

Height of cuboid =2x=2(4)=8m

Therefore, the breadth of the height of the cuboid are 12m and 8m.

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