The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 288 cubic inches and a length of 12 inches, what is the constant of proportionality for the group of boxes?
To find the constant of proportionality, we use the formula for direct variation:
V = kl
Where V is the volume, k is the constant of proportionality, and l is the length.
Given that V = 288 cubic inches and l = 12 inches, we can plug in these values into the formula:
288 = k(12)
To solve for k, divide both sides by 12:
k = 288/12
k = 24
Therefore, the constant of proportionality for the group of boxes is 24.