Answer:
a. 8
b. 12(n -2)
c. 6(n -2)^2
d. (n -2)^3
Step-by-step explanation:
A cube has 8 vertices (corners), 12 edges, and 6 faces.
a. Three faces will be painted on each of the 8 corner cubes.
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b. Two faces will be painted on the edge cubes that are not corner cubes. For an n-inch edge, n-2 inches of it are not part of the corner cubes. Two faces will be painted on 12(n -2) edge cubes.
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c. One face will be painted on each face cube that is not part of an edge or a corner. For a face of dimensions n inches square, the cubes of interest comprise a square that is n-2 inches on a side. There are 6 such faces of the larger cube. One face will be painted on 6(n -2)^2 face cubes.
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d. The cubes internal to the larger cube that are not part of any face, edge, or corner make up a cube that is (n -2)^3 smaller cubes. This is the number with no paint.
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e. Of course the total number of cubes with or without paint is n^3. This is the sum of the cubes in each category:
(((n -2) +6)(n -2) +12)(n -2) +8 = ((n +4)(n -2) +12)(n -2) +8
= (n^2 +2n +4)(n -2) +8
= n^3 +2n^2 -2n^2 +4n -4n -8 +8
= n^3
Please be more clear on what you want us to do
The answer is C because it’s an acute angle
Answer: The numbers are: 16, 11 and 48
Step-by-step explanation:
Let 1st number is a, second number is b and third number is c
1st number is 5 more than the second so a=b+5
The third number is 2 times the first so c=3*a=3*(b+5)
The sum of three numbers, so a+b+c=b+5+b+3*(b+5)=75
b+5+b+3+3b+15=75
5b+20=75
5b=55
b=11
a=b+5=11+5=16
c=3*(b+5)=3*(11+5)=3*16=48
The numbers are: 16, 11 and 48
7/2h-3/2step-by-step
explicacion: 7/2h-3=37/2h5h
1/2= 3/2Expression made:37/2h 3/2