please answer all parts) thank you In the file cubes.pdf are two diagrams that c
ID: 250059 • Letter: P
Question
please answer all parts) thank you
In the file cubes.pdf are two diagrams that can be cut out and folded into a 1 * 1 * 1 and a 2 * 2 * 2 cube. In the figure at the right is shown a 3 * 3 * 3 cube (the famous "Rubik's cube"). Using a single edge, a single face, and the volume of the 1 * 1 * 1 cube as "1", figure out the edge length (L), area (A), and volume (V) of the three cubes and enter them in the table below. In counting the edge length of the larger cubes, only count the outer edges, not the lines making criss-crosses across each face of the cube. Given that a 0 * 0 * 0 cube has edge length, area, and volume equal to 0, graph L, A, and V. If you had a cube of side N, where N is any integer, what would be the total edge length (L), the total surface area (A), and the total volume (V). Give an equation expressing your answer in terms of the symbol "N". Explain how you got your equations. According to your equations, for what value of N does L = V For what value of N does L = V Suppose you got the value of N in the parts above by measuring your cube in inches. Now convert to centimeters. If the edge of the cube in inches is N, what is it in cm Now what is L A V Even though you found an N for which L = A when N was counted in inches, if it's counted in cm, you should have found that the equality no longer holds. What' going on Did you make a mistake If so, explain what it is. Or is the question fundamentally flawed If it is, explain what's going on.Explanation / Answer
B. for N, Length of 1 side= 1*N = N
L = 12(length) = 12N
A = 6(Length)^2 = 6N^2
V = (Length)^3 = N^3
A. for N =1, L = 12, A = 6 , V = 1
for N =2, L = 24, A = 24, V = 8
for N = 3, L = 36, A = 54, V = 27
C. L = A when N =2
and L = V means 12N = N^3
N^2 = 12
so N = sqrt(12) = 3.46
D. if N is in inches
and 1 inch = 2.54 cm
so Length = 2.54N cm
L = 12(2.54N) = 30.48N
A = 6(2.54N)^2 = 38.71N^2
V = (2.54N)^3 = 16.39N^3
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