A big cube is made of few small unit cubes. If the edge along the height of the big cube is shared by 4 unit cubes, what is the volume of the big cube?

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Solution

As there are 4 small cubes along the height, there will be 4 cubes along the length as well as along the breadth.

Total number of small cubes used to form the big cube
= 4 $\times$ 4 $\times$ 4
= 64

Volume of each small cube = 1 $\times$ 1 $\times$ 1 = 1 cu. unit
Volume of the bigger cube = 64 $\times$ 1 = 64 cu. units

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A big cube is made of few small unit cubes. If the edge along the height of the big cube is shared by 4 unit cubes, what is the volume of the big cube?

As there are 4 small cubes along the height, there will be 4 cubes along the length as well as along the breadth. Total number of small cubes used to form the big cube = 4 × 4 × 4 = 64 Volume of each small cube = 1 × 1 × 1 = 1 cu. unit Volume of the bigger cube = 64 × 1 = 64 cu. units