Question

if the total surface area of a cube is a perfect square, which of these always hold true about the side of the cube?
1It will be an even number
2It will be an odd number.
3 It will be a rational number.
4 It will be an irrational number.​

Answer 1

Answer:

3) It will be a rational number

.

Answer 2

Answer:

4 It will be an irrational number.

Step-by-step explanation:

The total surface area of a cube with side as 'a' is given as $6a^{2}$.

If the total surface area is a perfect square, when we are solving for a, we need to take square root on both the sides of equation for surface area of cube.

In that calculations, the term of $\sqrt{6}$ which comes in division, will make the side of the cube an irrational number.