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Olympiad Test: Cubes and Dice - Class 6 MCQ


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10 Questions MCQ Test - Olympiad Test: Cubes and Dice

Olympiad Test: Cubes and Dice for Class 6 2024 is part of Class 6 preparation. The Olympiad Test: Cubes and Dice questions and answers have been prepared according to the Class 6 exam syllabus.The Olympiad Test: Cubes and Dice MCQs are made for Class 6 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Olympiad Test: Cubes and Dice below.
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Olympiad Test: Cubes and Dice - Question 1

Directions: A cube is coloured red on all of its faces. It is then cut into 64 smaller cubes of equal size. The smaller cubes so obtained are now separated.
How many smaller cubes have two surfaces painted with red colour?

Detailed Solution for Olympiad Test: Cubes and Dice - Question 1
- A cube has 6 faces and is cut into 64 smaller cubes, which means it is a 4x4x4 cube.
- Smaller cubes with two painted surfaces are located at the edges of the larger cube, excluding the corners.
- Each edge of the cube has 2 smaller cubes with two painted faces (the cubes between the corners).
- Since a cube has 12 edges, the total number of smaller cubes with two painted surfaces is 12 edges x 2 cubes = 24 cubes.
Olympiad Test: Cubes and Dice - Question 2

Directions: A cube is coloured red on all of its faces. It is then cut into 64 smaller cubes of equal size. The smaller cubes so obtained are now separated.
How many smaller cubes have no face coloured?

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Olympiad Test: Cubes and Dice - Question 3

 Directions: Observe the figure of a plane view of a cube and answer the given questions following it. 

Worksheet Solutions: Cubes
Which two faces will be opposite to each other?

Olympiad Test: Cubes and Dice - Question 4

Directions: Observe the figure of a plane view of a cube and answer the given questions following it. 

Worksheet Solutions: Cubes

Which face will be at top if face "T" will be at the bottom?

Detailed Solution for Olympiad Test: Cubes and Dice - Question 4

Imagine folding the paper in this way, we will figure out that R will come at the top and opposite to T.

Olympiad Test: Cubes and Dice - Question 5

Directions: Observe the figure of a plane view of a cube and answer the given questions following it.

Worksheet Solutions: Cubes

Which face will be opposite to face "T" after folding a cube?

Olympiad Test: Cubes and Dice - Question 6

What is the maximum number of identical pieces a cube can be cut into by 7 cuts?

Olympiad Test: Cubes and Dice - Question 7

What is the least number of cuts required to cut a cube into 24 identical pieces?

Olympiad Test: Cubes and Dice - Question 8

Count the number of cubes in the given figure.
Worksheet Solutions: Cubes

Olympiad Test: Cubes and Dice - Question 9

Count the number of cubes in the given figure.
Worksheet Solutions: Cubes

Olympiad Test: Cubes and Dice - Question 10

Count the number of blocks in the given figure.
Worksheet Solutions: Cubes

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