A metallic solid cuboid of dimensions 36 cm × 18 cm × 12 cm is melted and recast in the form of cubes of side 6 cm. Find the number of cubes so formed.
Answer & explanation
Correct answer: option 4
We know that,
Volume of cuboid = L × H × B
Volume of cube = a3
Given,
Dimensions of cuboid =
l = 36 cm
b = 18 cm
h = 12 cm
Side of each cube = 6 cm
Let the number of cubes to be formed is x
So,
36 × 18 × 12 = x(63)
= 36 × 18 × 12 = 216x
= x = (36 × 18 × 12) × \(\frac{2}{216}\)
= x = 36
So, total of 36 cubes can be formed