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Class 8 Exam  >  Class 8 Tests  >  Test: Cubes - 2 - Class 8 MCQ

Test: Cubes - 2 - Class 8 MCQ


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10 Questions MCQ Test - Test: Cubes - 2

Test: Cubes - 2 for Class 8 2024 is part of Class 8 preparation. The Test: Cubes - 2 questions and answers have been prepared according to the Class 8 exam syllabus.The Test: Cubes - 2 MCQs are made for Class 8 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Cubes - 2 below.
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Test: Cubes - 2 - Question 1
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There is a cube that having six faces named with six different fruit names like Apple, mango, pineapple, Orange, watermelon, banana with condition like. Orange face is opposite to the Apple face. pineapple face is between orange and Apple faces. Banana face is adjacent to watermelon face. Mango face is adjacent to Banana face. Orange face is in the bottom.
Choose the correct box that is formed by folding the given sheet of paper.

Detailed Solution for Test: Cubes - 2 - Question 1

Clearly in this design, if we consider the star side to be the bottom, the four blank square sides will make the lateral sides of the cube. And the four triangles will fold in to make the top square such that the two shaded triangles meet at their tips from opposite sides. Since the star side and the side with triangles must be opposite to each other.

Test: Cubes - 2 - Question 2
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There is a cube that having six faces named with six different fruit names like Apple , mango, pineapple, Orange ,watermelon ,banana.with condition like. Orange face is opposite to the Apple face. pineapple face is between orange and Apple faces. Banana face is adjacent to watermelon face. Mango face is adjacent to Banana face. Orange face is in the bottom. .The upper face is _________.

Detailed Solution for Test: Cubes - 2 - Question 2

As mentioned in the problem, the bottom face is orange and the face opposite to orange is Apple hence the correct answer is option d.

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Test: Cubes - 2 - Question 3
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There is a cube that having six faces named with six different fruit names like Apple, mango, pineapple, Orange, watermelon, banana with condition like. Orange face is opposite to the Apple face. pineapple face is between orange and Apple faces. Banana face is adjacent to watermelon face. Mango face is adjacent to Banana face. Orange face is in the bottom. 
Which of the following is opposite to Pineapple?

Detailed Solution for Test: Cubes - 2 - Question 3

As described earlier, orange and Apple colors are opposite to each other. watermelon and mango are opposite to each other. Hence, only banana can be placed against pineapple

Test: Cubes - 2 - Question 4
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There is a cube that having six faces named with six different fruit names like Apple, mango, pineapple, Orange, watermelon, banana with condition like. Orange face is opposite to the Apple face. pineapple face is between orange and Apple faces. Banana face is adjacent to watermelon face. Mango face is adjacent to Banana face. Orange face is in the bottom.
Which of the following is adjacent to Pineapple?
Detailed Solution for Test: Cubes - 2 - Question 4

As mentioned in the problem, orange and Apple are opposite to each other and are bottom and top respectively. watermelon and mango are opposite to each other therefore they are adjacent to pineapple.

Test: Cubes - 2 - Question 5
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There is a cube that having six faces named with six different fruit names like Apple, mango, pineapple, Orange, watermelon, banana with condition like. Orange face is opposite to the Apple face. pineapple face is between orange and Apple faces. Banana face is adjacent to watermelon face. Mango face is adjacent to Banana face. Orange face is in the bottom.
Mango is _________
Detailed Solution for Test: Cubes - 2 - Question 5

As bottom and top are established, we have 4 sides left. As mentioned in the problem, banana is adjacent to watermelon and Pineapple is adjacent to banana hence it can be made out that watermelon is opposite.

Test: Cubes - 2 - Question 6
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Two adjacent portions of a big cube are varnished in yellow and other two portions are varnished in pink and the rest of the two portions are varnished in blue. The cube is segmented into 512 tiny and equal cubes. A big cube is having 36cm portion and the tiny cubes cut out of it is having 3 cm of each portion. Then how many tiny cubes will be formed such that each face of these cubes is surrounded by other cubes?
Detailed Solution for Test: Cubes - 2 - Question 6

Here x = 36/3 = 12. Such cubes can be found by following method. X – 2 = 12 - 2 = 10 and 10 × 10 × 10 = 1000. So number of cubes will be formed such that each face of these cubes is surrounded by other cubes is only one.

Test: Cubes - 2 - Question 7
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Two adjacent portions of a big cube are varnished in yellow and other two portions are varnished in pink and the rest of the two portions are varnished in blue. The cube is segmented into 512 tiny and equal cubes. How many tiny cubes will be formed having one portion pink and one portion yellow for sure?
Detailed Solution for Test: Cubes - 2 - Question 7

Pink and yellow varnished faces are joined by 4 edges, so number of cubes having pink and yellow varnished faces = (x - 2) × number of edges = (8 - 2) × 4 = 5 × 4 = 20. Here X = Cube root of 512 = 8. Number of cubes having three faces varnished will also have green and white colours = 8. So total cubes = 20 + 8 = 28.

Test: Cubes - 2 - Question 8
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Two adjacent portions of a big cube are varnished in yellow and other two portions are varnished in pink and the rest of the two portions are varnished in blue. The cube is segmented into 512 tiny and equal cubes . How many tiny cubes will be formed having all the three colours?
Detailed Solution for Test: Cubes - 2 - Question 8

The number of corners is 8 hence answer for tiny cubes which have all the three colours are related to 8 corners.

Test: Cubes - 2 - Question 9
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A Cube is segmented into 1728 equal tiny cubes and having corner named as U, V, W, X, Y, Z, A and B. Before dividing the cube, each face of it is varnished with different colours two portion with same colour and two with different colour. How many tiny cubes will be formed having all the three colours?
Detailed Solution for Test: Cubes - 2 - Question 9

The number of corners is 8 hence answer for tiny cubes which have all the three colours are related to 8 corners.

Test: Cubes - 2 - Question 10
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A Cube is segmented into 1728 equal tiny cubes and having corner named as U, V, W, X, Y, Z, A and B. Before dividing the cube, each face of it is varnished with different colours. How many tiny cubes will be formed having more than one colour?
Detailed Solution for Test: Cubes - 2 - Question 10

x = Cube root of 1728 = 12. More than one colour means two or more colours. So total number of cubes whose two faces are varnished = (x - 2) × number of edges = (12 - 2) × 12 = 120. The three varnished cubes have the number of corners = 8. So total number of required cubes = 120 + 8 = 128.

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Cubes - 2 MCQs with Answers

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