A metal cuboid measuring 40 cm × 20 cm × 10 cm is melted down and recast into small solid cubes of side 2 cm each for making children’s building blocks. How many such cubes can be formed?
Show answer & explanation
Correct answer: C
Explanation
Given:
Dimensions of the cuboid = 40 cm × 20 cm × 10 cm
Side of the small cube = 2 cm
According to the formula:
Number of cubes = (Volume of the cuboid) / (Volume of a cube)
Volume of the cuboid = 40 × 20 × 10 = 8000 cm³
Volume of one cube = 2³ = 8 cm³
Number of cubes = 8000 / 8 = 1000