Question

Which cube has the largest surface area to volume ratio?

3x3x3

2x2x2

1x1x1

(please help 15 point reward)

Answer 1

Answer:

3x3x3

Step-by-step explanation:

The surface area of a cube is defined by $6x^2$, where x is the side length. The volume of a cube is defined by $x^3$, where x is the side length.

Test each of the possible answers and find their ratios:

$6*3^2 / 3^3=6\\6*2^2 / 2^3=3\\6*1^2 / 1^3=2$

Therefore, 3x3x3 has the largest surface area to volume ratio.

Answer 2

3x3x3 has the largest surface area to volume ratio