The volume of a cuboid is twice that of a cube. If the dimensions of the cuboid are (8 m x 8 m x16 m), the total surface area of the cube is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 384 m².
Volume of a cuboid = 2 × Volume of a cube
The dimensions of the cuboid = (8 m x 8 m x 16 m)
The volume of a cuboid = Length × Width × Height
The volume of a cube = Side3
The total surface area of the cube = 6 × Side2
Volume of a cuboid = 2 × Volume of a cube
8 × 8 × 16 = 2 × Side3
Side3 = 512
Side = 8 m
Hence, the total surface area of the cube = 6 × Side2 = 6 × 82 = 6 × 64 = 384 m2