Question 54
The length, breadth and height of a solid cuboid is 14 cm, 12 cm and 8 cm respectively. If cuboid is melted to form identical cubes of side 2 cm, then what will be the number of identical cubes?
Solution
$$\text{Number of identical cubes} = \dfrac{\text{Volume of cuboid}}{\text{Volume of each cube}}$$
Volume of cuboid $$= 14\times12\times8 = 1344 cm^3$$
Volume of each cube $$= 2^3 = 8 cm^3$$
Therefore, Number of identical cubes $$= \dfrac{1344}{8} = 168$$
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