26 December, 04:07
The following figure is a Cube. Find the missing values.
Volume = 512 ft^3
Find the surface area
26 December, 04:54
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.
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» The following figure is a Cube. Find the missing values. Volume = 512 ft^3 Find the surface area