Question

If we take a square and cube of the same side length, then the ratio of the total surface area of the cube to the area of the square is ___ .

• A. 1 : 4
• B. 4 : 1
• C. 1 : 6
• D. 6 : 1

Answer 1

The correct option is D 6 : 1

Let the side length of the cube/square be $l$ unit.

Then, Area of the square = $l^2{\text{unit}}^2$

Surface area of cube = $6l^2{\text{unit}}^2$

Hence, the surface area of the cube is 6 times the area of the square. The ratio of TSA of the cube to the area of the square = 6 : 1.