Question 67

How many identical solid cubes, each having sides that are 3 cm long, can be formed by melting a solid cuboid, whose length, breadth and height are 9 cm, 12 cm and 15 cm, respectively?

Solution

Let's assume the number of identical solid cubes that can be formed from cuboid is 'N'.

Volume of cuboid = N $$\times$$ Volume of each cube

$$length\times breadth\times height=N\times(length\ of\ each\ side)^3$$

$$9\times12\times15=N\times(3)^3$$

$$9\times12\times15=N\times27$$

$$12\times5=N$$
N = 60

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