Answer:
I thank it is B.
Step-by-step explanation:
The cube can be formed by the net, because all of the faces are equal
Answer:
x = (c+a)/2
y = (c-a)/2
Step-by-step explanation:
x+y=c
x-y=a
Add together to eliminate y
x+y=c
x-y=a
--------------
2x = c+a
Divide by 2
2x/2 =(c+a)/2
x = (c+a)/2
Multiply the second equation by -1
-x+y =-a
Add the first equation
x+y =c
-x+y=-a
-----------------
2y = c-a
Divide by 2
2y/2= (c-a)/2
y = (c-a)/2
Answer:
r : s is √3 : 2
Step-by-step explanation:
The given parameter are;
A cube is inscribed in a sphere
The side length of the cube = s
The radius of the sphere = r
The ratio r : e = Required
It is noted that for a cube inscribed in a sphere, we have;
The diameter of the sphere = The diagonal of the cube
The diameter of the sphere, D = 2 × The radius = 2·r
The square of the diagonal of the cube, d² = s² + s² + s² = 3·s²
∴ The diagonal of the cube, d = (√3)·s
From the relationship between the cube and the sphere in which it is inscribed, (The diameter of the sphere = The diagonal of the cube), we have;
2·r = (√3)·s
∴ r/s = (√3)/2
r : s = √3 : 2.
