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Directions: Answer the questions based on the information given below. A cube is painted in such a way that a pair of adjacent faces is painted in green, a pair of opposite faces is painted in yellow, and another pair of adjacent faces is painted in red. This cube is now cut into 125 small but identical cubes. QUESTION 05 bookmark_border Select the correct answer How many of the small cubes do not have green colour, but have yellow or red colours on them? radio_button_unchecked 40 radio_button_unchecked 75 radio_button_unchecked 80 radio_button_unchecked 53

Question

Directions: Answer the questions based on the information given below.

A cube is painted in such a way that a pair of adjacent faces is painted in green, a pair of opposite faces is painted in yellow, and another pair of adjacent faces is painted in red. This cube is now cut into 125 small but identical cubes.

QUESTION 05 bookmark_border Select the correct answer How many of the small cubes do not have green colour, but have yellow or red colours on them?

radio_button_unchecked 40

radio_button_unchecked 75

radio_button_unchecked 80

radio_button_unchecked 53

...expand
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Solution

To solve this problem, we need to understand how a cube is divided and how the colors are distributed when it is cut into smaller cubes.

  1. The cube is cut into 125 smaller cubes. This means the cube is cut into 5 cubes along each edge (since 555 = 125).

  2. A pair of adjacent faces is painted green. This means that there are 5*5 = 25 cubes with green on one face and another 25 cubes with green on the other face. So, there are 50 cubes with green color.

  3. We are asked to find the number of cubes that do not have green color but have yellow or red. Since the green color is on adjacent faces, the cubes with green color will not have yellow or red color.

  4. So, the cubes that do not have green color but have yellow or red are the total cubes minus the cubes with green color. That is 125 - 50 = 75.

So, the correct answer is 75.

This problem has been solved

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Direction : Read the given information carefully and answer the following questions. A cube is painted red on two adjacent surfaces and black on the surfaces opposite to red surfaces and green on the remaining faces. Now the cube is cut into sixty four smaller cubes of equal sizeHow many smaller cubes have less than three surface painted?48242856

A pair of opposite faces of a cube is painted yellow another pair of opposite faces orange and the remaining faces white. The cube is then cut in to 343 smaller but identical cubes.How many of the smaller cubes have exactly one colour on them?

pair of opposite faces of a cube is painted yellow another pair of opposite faces orange and the remaining faces white. The cube is then cut in to 343 smaller but identical cubes.How many of the smaller cubes have exactly one colour on them?     a.144                b.150           c.125           d.130

QUESTION 01bookmark_borderSelect the correct answerComplete the analogy: 48 :25: : 64 : _____         radio_button_unchecked31radio_button_unchecked33radio_button_unchecked32radio_button_unchecked34

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