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?
Answer & explanation
Correct answer: option 3
We know that,
Volume of cube = a3
Volume of cuboid = l × b × h
Volume of cuboid = 9×12×15 = 1620cm3
Volume of Cube = 3 × 3 × 3 = 27cm3
Let the number of cubes = x
x x Volume of cube = Volume of cuboid
x x 27 = 1620
x = 60