Question : A solid cuboid is melted to form several cubes. If the length, breadth and height of a cuboid are 20 cm, 16 cm and 8 cm and the edge of each cube is 4 cm, then the number of cubes is:
Option 1: 50
Option 2: 44
Option 3: 40
Option 4: 48
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Correct Answer: 40
Solution :
Dimensions of cuboid are 20, 16 and 8 cm.
The length of the side of the cube = 4
Volume of cuboid = $l\times b\times h$
Volume of cube = $a^3$
Number of cubes = $\frac{\text{Volume of cuboid}}{\text{Volume of cube}}$
= $\frac{20\times 16\times 8}{4\times4\times4}$
= 40
Hence, the correct answer is 40.
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