A cuboid with dimensions (8 × 2 × 4) meters is melted and recast into a cube.Find the total surface area of the cube.
Show answer & explanation
Correct answer: C
Explanation
Dimensions of the cuboid = 8 m × 2 m × 4 m
Volume of the cuboid = 8 × 2 × 4 = 64 cubic meters
It is melted to form a cube; therefore, the volume of the cube will also be 64 cubic meters.
Side of the cube = ∛64 = 4 m
Total surface area of the cube = 6 × (4 × 4)
= 6 × 16
= 96 square meters