SOLUTION: Surface area of a cube. The formula A = 6V⅔ gives the surface area of a cube in terms of its volume V. what is the volume of a cube with surface area 12 square feet?

Algebra ->  Equations -> SOLUTION: Surface area of a cube. The formula A = 6V⅔ gives the surface area of a cube in terms of its volume V. what is the volume of a cube with surface area 12 square feet?      Log On


   

Question 150350This question is from textbook
: Surface area of a cube. The formula A = 6V⅔ gives the surface area of a cube in terms of its volume V. what is the volume of a cube with surface area 12 square feet? This question is from textbook

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
You can solve this in 2 ways, we'll go to the faster one first:
A=6*%28V%29%5E%282%2F3%29
Divide the whole eqn by 6 then multiply exponent ^3/2 the whole eqn so we can cancell the exponent of the unknown, V
cross%2812%292%2Fcross%286%291=cross%286%29%2Fcross%286%29*V%5E%282%2F3%29
2%5E%283%2F2%29=V^(2/3)(3/2)=V%5E%286%2F6%29=V, oks
Continuing,
V=2.8284271 -----------> for the Volume
.
For other eqn, we can go for the formula for Area since it is given, then go for the formula in finding the volume:
A=6s%5E2, s=sides of the cube
12%2F6+=+s%5E2, s=sqrt%282%29,s=1.4142136
For the Volume,
V=s%5E3=1.4142136%5E3
V=2.8234271 -----------> for the Volume
Thank you,
Jojo