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Question

A cube whose volume is 18 cubic centimetre is placed on top of a cube whose volume is 1cm3. The two cubes are then placed on top of a third cube whose volume is 8cm3. The height of stacked cubes is


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Solution

Finding the height of stacked cubes:

Let the volume of the cubes be V1,V2,V3 whose sides are a1,a2,a3 respectively.

We know that,

Volume of the cube=a3

Now, V1=18

Therefore,

V1=a1318=a13a1=183a1=12

So, the side of the first cube is 12=0.5cm

Similarly,

V2=1

V2=a231=a23a2=13a2=1 and V3=a338=a33a3=83a3=2

So, a2=1cmanda3=2cm

Therefore, the total height of the staked cube = a1+a2+a3=0.5+1+2=3.5cm.


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