Activity 8-C-5
of the side length, n, of the large cube.
Let g be the function that maps n to the number of unit cubes with 2 painted faces.
Let t be the function that maps n to the total number of unit cubes.
Explain the meaning of the following function values in the context of the painted cube problem. (016
2.k10
3.f20+g20+h20+k20
4f15+g15+h15
5.t15-f15+g15+h15
For which values of n are the following statement true? Answer by reasoning about the painted cubes and explain how you reached your conclusion. 8=u9
7.kn=125
kn=0
9. tn-2=kn
10.f(n+g)+n+h)+kn=tn
MATHEMATICAL REASONING WITH CONNECTIONS
REASONING WITH FUNCTIONS