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
the perimeter of 1 face and area of 1 face
surface area and volume
area of 1 face and surface area
side length and volume
Answers
Answer: 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
Step-by-step explanation: