Question 1:
By definition, euler's formula is given by:
C + V = A + 2
Where,
C: number of faces
V: number of vertices
A: number of edges
Substituting values we have:
21 + V = 49 + 2
Clearing V we have:
V = 49 + 2-21
V = 30
Answer:
the missing number is:
A. 30
Question 2:
The volume of the cube is:
V1 = L1 ^ 3 = 512
The volume of the new cube is:
V2 = L2 ^ 3 = 3375
V2 = (kL1) ^ 3 = 3375
V2 = k ^ 3 (L1) ^ 3 = 3375
V2 = k ^ 3V1 = 3375
Therefore, the scale factor will be:
k ^ 3 = V1 / V2
k ^ 3 = 512/3375
k = (512/3375) ^ (1/3)
k = 8/15
Answer:
the scale factor of a cube with a volume of 512m ^ 3 to a cube with a volume of 3,375 m * 3 is:
A. 8:15
