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
 
 The surface area of a bubble with a volume of 5 cm3 is:
 A = 14.14364782 cm ^ 2