SOLUTION: a painted 2 x 2 x 2 cube is cut into eight unit cubes . if you consider the total surface area of all eight small cubes , what fraction of this total surface area is painted
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Question 252445: a painted 2 x 2 x 2 cube is cut into eight unit cubes . if you consider the total surface area of all eight small cubes , what fraction of this total surface area is painted
a 1/8 b 1/4 c 1/2 d 5/8 e 3/4 Found 2 solutions by palanisamy, Alan3354:Answer by palanisamy(496) (Show Source):
You can put this solution on YOUR website! The given cube is 2x2x2
Its painted surface area = 6x2x2 = 24
It is cut into 8 small cubes each with sides 1x1x1
The suface area of each small cube = 6x1x1 = 6
Total suface area of all 8 small cubes = 8x6 = 48
Thr ratio of painted area: total area = 24:48
=1:2 or 1/2
You can put this solution on YOUR website! a painted 2 x 2 x 2 cube is cut into eight unit cubes . if you consider the total surface area of all eight small cubes , what fraction of this total surface area is painted
a 1/8 b 1/4 c 1/2 d 5/8 e 3/4
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The surface area of a cube with sides s = 6s^2
The painted surface is 6*2^2 = 24 sq units
The total area after cutting is 8*6*1^2 = 48 sq units
So it's 1/2
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