Question : 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?
Option 1: 50
Option 2: 120
Option 3: 60
Option 4: 90
Correct Answer: 60
Solution :
Given: Length of cuboid, l = 9 cm
Breadth of cuboid, b = 12 cm
Height of cuboid, h = 15 cm
Volume of cuboid = l × b × h = 9 × 12 × 15 = 1620 m
3
Now, side of the cube, a = 3 cm
Volume of cube = a
3
= 3
3
= 27 m
3
Total solid cubes formed = $\frac{\text{Volume of cuboid}}{\text{Volume of cube}}= \frac{1620}{27}= 60$
Hence, the correct answer is 60.
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