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 inche

Question

3 years ago

6

s, what is the constant of proportionality for the box?

2 answers:

Anastasy [175] · Answer 1 · 2022-03-24T23:40:52+03:00

4 0

90 = k*15
constant of proportionality = 80 / 15 = 6 Answer

soldier1979 [14.2K] · Answer 2 · 2022-03-25T01:44:32+03:00

Answer:

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.