Answer:
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.
Answer:
$
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Perimeter equation: Length + Width * 2
so divide 2 by 16
which gives you 8 and minus that by its half so you get 4
First, you try to make sure that both the denominators are the same. In order to do this, you multiply both fractions' numerator and denominator by the other fraction's denominator. Next, you combine like terms in the numerator, and then you simplify the fraction.
