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Part A.

A cube is painted red on all six sides, then cut into 125 smaller congruent cubes.
How many of the small cubes are painted red on exactly one side?

Part B.

A cube is painted red on all six sides, then cut into 125 smaller congruent cubes.
How many of the small cubes are not painted red on any sides?

Part C.

A cube is painted red on all six sides, then cut into 125 smaller congruent cubes.
A small cube is selected at random and rolled. What is the probability that it has a red side facing up?

rohitaop  May 31, 2018

#1
+12566
+2

if you draw a 5 x 5 grid, you will see a 3 x 3 grid of cubes that have only one side painted

6 sides x 3 x 3 =54 cubes with only one side painted .

B   3 x 3 x 3 = 27 no paint.

C  125 cubes x 6 sides ea = 750 sides total

25 x 6 sides are painted = 150 painted

150/750 = 1/5

ElectricPavlov  May 31, 2018
#1
+12566
+2

if you draw a 5 x 5 grid, you will see a 3 x 3 grid of cubes that have only one side painted

6 sides x 3 x 3 =54 cubes with only one side painted .

B   3 x 3 x 3 = 27 no paint.

C  125 cubes x 6 sides ea = 750 sides total

25 x 6 sides are painted = 150 painted

150/750 = 1/5

ElectricPavlov  May 31, 2018