The table below shows measurements (in inches) from cubes with different side lengths.

Which pairs of variables have a linear relationship? Check all that apply.

side length and perimeter of 1 face

perimeter of 1 face and area of 1 face

surface area and volume

area of 1 face and surface area

side length and volume

Only side length and perimeter of one face

Step-by-step explanation:

Given is a cube with measures given in inches.

For a cube

Volume = s^3 where s = side

Hence volume and side are not having linear relation

Perimeter of 1 face = 4s and area = s^2

Obviously 4s and s^2 cannot have linear relationship as degree is diferent

Surface area of cube = 6s^2 but volume = s^3 both have different degrees of s and hence cannot have linear relation

Area of 1 face = s^2 and surface area = 6s^2

THus we get Surface area = 6 (area of 1 face) hence can have linear relationship

side length = s and volume = s^3 so cannot have linear relaionship

Side length = s and perimeter = 4s thus having linear relation.

Hence answers are

side length and perimeter of 1 face

area of 1 face and surface area