Answer:
2 cubes = 10 faces
3 cubes = 14 faces
4 cubes = 18 faces
5 cubes = 22 faces
6 cubes = 26 faces
7 cubes = 30 faces
10 faces = 2 cubes
14 faces = 3 cubes
18 faces = 4 cubes
Step-by-step explanation:
We know that 1 cube shows 6 faces, and 2 cubes shows 10 faces. With 3 cubes, it shows 14 faces.
With this pattern, we can conclude that
f(x) = 2 + 4x
f(x) is a function for where f is the value of faces and x is the amount of cubes connected.
To find the amount of faces for the cubes used
f(2) = 2 + 4(2) = 2 + 8 = 10
f(3) = 2 + 4(3) = 2 + 12 = 14
f(4) = 2 + 4(4) = 2 + 16 = 18
f(5) = 2 + 4(5) = 2 + 20 = 22
f(6) = 2 + 4(6) = 2 + 24 = 26
f(7) = 2 + 4(7) = 2 + 28 = 30
For the amount of cubes used given the amount of faces
10 = 2 + 4x
-2 -2
8/4 = 4x/4
2 = x
x= 2
14 = 2 + 4x
-2 -2
12/4 = 4x/4
3 = x
x = 3
18 = 2 + 4x
-2 -2
16/4 = 4x/4
4 = x
x = 4
Your welcome! If you have any questions, please post them in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it! :D
