A metallic slab having dimensions 16 cm × 12 cm × 9 cm is melted and recast in the shape of a cube. What is the surface area (in cm2) of the cube?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 864.
Given:
Dimension of cuboid is 16 cm × 12 cm × 9 cm
Formula used:
Volume of cube = side3
Volume of cuboid = length × breadth × height
Total surface area of cube = 6 × side2
Calculations:
Now according to the question
Volume of cuboid = Volume of cube
⇒ 16 × 12 × 9 = side3
⇒ side = 4 × 3 = 12
Required surface area = 6 × 122
⇒ 6 × 144 = 864