Question 73

How many cubes with a side 10 cm can be cut out of a cube having side of 10 metre?

Solution

The side of the larger cube = 10 metre = 1000 cm (1m = 100 cm)

Volume of larger cube = $$(1000)^3$$

= 1000000000 Eq.(i)

The side of the smaller cube = 10 cm

Volume of smaller cube = $$(10)^3$$

= 1000 Eq.(ii)

Number of smaller cube can be cut from the larger one = $$\frac{Eq.(i)}{Eq.(ii)}$$ = $$\frac{1000000000}{1000}$$

= 1000000

= 10,00,000

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