The following figure is a Cube. Find the missing values.

Volume = 512 ft^3

Find the surface area

384 ft²

Step-by-step explanation:

Alrighty! The volume of a cube is V = a³. The equation for the surface area of a cube is 6a². The key number here will come with finding what a is. Here, we are already given the volume: 512 ft³. By working backwards a little we can solve for the variable a using the volume.

Volume = a³

512 = a³

Here we need to isolate the variable a in order to solve for it. In order to do this we must figure out a way to move the cube³ over. We can do this by cube rooting 512!

512 = a³

∛512 = a

The cubed root of 512 = 8 thus:

8 = a

Now we that we have solved for the variable a, we can plug this into our equation for the surface area of a cube.

SA = 6a²

a = 8

SA = 6 (8) ²

Solving exponents comes first naturally. 8² = 64

SA = 6 (64)

SA = 384

Ta-da! Your surface area is 384 ft².