The volume, V, of a soap bubble is related to its surface area, A. In cubic centimeters, this relationship is shown by the formula V = 0.094A 3/2. What is the surface area of a bubble with a volume of 5 cm3?

First let's rewrite the volume expression correctly:

V = 0.094 * (A) ^ (3/2)

Now we clear the area:

(A) ^ (3/2) = V / 0.094

A = (V / 0.094) ^ (2/3)

We now replace the volume:

A = (5 / 0.094) ^ (2/3)

A = 14.14364782 cm ^ 2

Answer:

The surface area of a bubble with a volume of 5 cm3 is:

A = 14.14364782 cm ^ 2