Math, asked by jaiveerjakhar622, 7 months ago

A cube is painted blue on two adjacent faces. It is painted brown on the faces opposite to blue faces and yellow on the remaining faces. After being cut into sixty-four smaller cubes of equal size, what is the fraction of the cubes which have exactly one face painted blue?

Answers

Answered by amitnrw

Given : A cube is painted blue on two adjacent faces. It is painted brown on the faces opposite to blue faces and yellow on the remaining faces. then cut into sixty-four smaller cubes of equal size,

To Find : what is the fraction of the cubes which have exactly one face painted blue?

Solution:

Cube is cut in 64 Cubes

4 x 4 x 4 = 64

cube is painted blue on two adjacent faces

Hence at one edge two faces will have blue color

2 x (16 - 4) = 24

24 cubes have exactly one face painted blue

Fraction = (24/64) = 3/8

If Only one face colored blue and no other color then

2 * (4 - 2)(4 - 2) = 8

8 Cubes have only one face painted blue

Fraction = 8/64 = 1/8

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A cube is painted blue on two adjacent faces. It is painted brown on the faces opposite to blue faces and yellow on the remaining faces. After being cut into sixty-four smaller cubes of equal size, what is the fraction of the cubes which have exactly one face painted blue?​

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A cube is painted blue on two adjacent faces. It is painted brown on the faces opposite to blue faces and yellow on the remaining faces. After being cut into sixty-four smaller cubes of equal size, what is the fraction of the cubes which have exactly one face painted blue?