Question

Find the answer given below​

Answer 1

Answer:

Surface area = 6l^2

Volume = l^3

If total surface area increased by 2, then the length increased by $\sqrt{2}$

Volume then is increased by ($\sqrt{2}$l)^3 = 2$\sqrt{2}$l^3

1 :2 $\sqrt{2}$

Which is not an option in the question so this question clearly has a problem.

First of all It's supposed to be "then" not "than," so I'm not sure who teaches math without even knowing this basic grammar.

Second of all, if the answer is 8:1 the question should be "If each sides of a cube is doubled" not "the lateral surface area." Come to think of it what even is lateral surface area of a cube if all sides of the cube is supposed to be same.

Or, if the answer is 2:1 then, it should be If height lateral surface area of a cube is doubled by doubling the height and without changing the length and width"  But, then the the shape would no longer be a cube.

Who even wrote this garbage question what.