A cuboidal block of metal is melted and recast into 12 identical cubes. If the original block had dimensions 24 cm × 6 cm × 6 cm, what is the edge of each cube?
Show answer & explanation
Correct answer: B
Explanation
Volume of the original cuboid = 24 × 6 × 6= 864 cm³
Total volume of 12 identical cubes = 864 cm³
Therefore, volume of one cube = 864/12= 72 cm³
If the edge of each cube = a cm,
a³ = 72
a = ∛72= 2∛9 cm