9 is the blank.
(a+b)^2 = a^2 + 2ab + b^2
a = x
b = 3
(x+3)^2 = x^2 + 6x + 9
If 8x+6=4x+38
8x-4x=38-6
4x=32
x=32/4=8
Angle of A is equal to angle of B (mirrored)
Then angle of B is 4x+38 = 4*8+38 = 32+38=70
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.
