Question

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 proportionality for the group of boxes

Answer 1

Answer: 24

Step-by-step explanation: got it righ

Answer 2

ANSWER

The constant of proportionality is 24.

Step-by-step explanation

If the volume of a box (V) varies directly with it's length (l), then we can write the mathematical statement,


`V\propto l`

We introduce the constant of proportionality k, and write the equation,


`V = k l`

When V=288, l=12.

We substitute these values to obtain;


`288 = 12k`

Divide both sides by 12,


`k = (288)/(12) =24`