A pillbox with a height of 12 inch needs to have a volume greater than 2 in.3 . What is the solution of an inequality describing the possible area of the base, b

1 answer

To find the volume of a pillbox, we use the formula:

Volume = base area * height

Given that the height is 12 inches and the volume must be greater than 2 in^3, we can set up the inequality:

base area * 12 > 2

Dividing both sides by 12:

base area > 2/12
base area > 0.167 in^2

Therefore, the base area must be greater than 0.167 in^2 for the pillbox to have a volume greater than 2 in^3.