The volume of a box (v) varies directly with its length (l). if the box has a volume of 90 cubic inches and a length of 15 inches, what is the constant of proportionality for the box?

The constant of proportionality for the box is 6.

Step-by-step explanation:

  Given : The volume of a box (V) varies directly with its length (l). If the box has a volume of 90 cubic inches and a length of 15 inches.

We have to find the constant of proportionality for the box.

Since, The volume of a box (V) varies directly with its length (l)

Mathematically written as  V ∝ l

For removing proportionality, we multiply a proportionality constant k,

Thus, the equation V ∝ l

Becomes V = k l

Also given volume of 90 cubic inches and a length of 15 inches.

Substitute, V = 90 , and l = 15

We have,

90 = k (15)

Divide both side by 15, we get,

k = 6

Thus,  the constant of proportionality for the box is 6.

72 is the answer to this problem