Answer:
V = 729
Step-by-step explanation:
A = 6 V ^ (2/3)
We know that A = 486
Substitute this into the formula
486 = 6 V ^ (2/3)
Divide by 6
486/6 = 6/6 V ^ (2/3)
81 = V^(2/3)
Replace 81 with 9^2
9^2 = V^ (2/3)
Take the square root of each side
sqrt(9^2) =sqrt( V^ (2/3))
9 = V^ (1/3)
Cube each side
9^3 = v^ (1/3)^3
729 = V
