Podcast
Questions and Answers
A net of a cube is folded. Which number of dots lies opposite the face with four dots?
A net of a cube is folded. Which number of dots lies opposite the face with four dots?
- 5
- 6
- 3
- 2 (correct)
Two views of a standard die are shown. If 5 is on the bottom, what number is on the top?
Two views of a standard die are shown. If 5 is on the bottom, what number is on the top?
- 2
- 1 (correct)
- 3
- 4
Two views of a die are shown. If 6 is at the bottom, what number is on the top?
Two views of a die are shown. If 6 is at the bottom, what number is on the top?
- 3
- 1
- 4 (correct)
Given two views of a die, if 2 is at the top, what number is at the bottom?
Given two views of a die, if 2 is at the top, what number is at the bottom?
Two positions of a die are shown. What number is opposite 6?
Two positions of a die are shown. What number is opposite 6?
A cube's faces are each colored with a different color: V, I, B, G, Y, and O. Given that Y, O, and B are on adjacent faces, I, G, and Y are on adjacent faces, B, G, and Y are on adjacent faces, and O, V, and B are on adjacent faces, what color is on the face opposite the face colored with V?
A cube's faces are each colored with a different color: V, I, B, G, Y, and O. Given that Y, O, and B are on adjacent faces, I, G, and Y are on adjacent faces, B, G, and Y are on adjacent faces, and O, V, and B are on adjacent faces, what color is on the face opposite the face colored with V?
A cube of length 1 cm is removed from a cube of length 4 cm. What fraction of the original cube's weight remains?
A cube of length 1 cm is removed from a cube of length 4 cm. What fraction of the original cube's weight remains?
Two views of a parallelepiped are shown. If 2 is on the top side, what number is at the bottom?
Two views of a parallelepiped are shown. If 2 is on the top side, what number is at the bottom?
Two positions of a block are shown. When 6 is at the top, which number will be at the bottom?
Two positions of a block are shown. When 6 is at the top, which number will be at the bottom?
In a standard die, if one face has 1 dot, what is the number of dots on the opposite face?
In a standard die, if one face has 1 dot, what is the number of dots on the opposite face?
Flashcards
What is a Cube?
What is a Cube?
A symmetrical three-dimensional shape with six equal square faces.
Cube Folding
Cube Folding
Visualizing how a 2D net folds into a 3D cube to determine opposite faces.
Standard Dice Pattern
Standard Dice Pattern
Dice have numbers 1 to 6, where opposite faces always add up to 7.
Dice Position Analysis
Dice Position Analysis
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What are Parallelepipeds?
What are Parallelepipeds?
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Parallelepiped Face Deduction
Parallelepiped Face Deduction
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Study Notes
- Class test on cubes and dice by Amit Garg
Question 1
- Need to determine the number of dots opposite the face with four dots on a folded cube.
Question 2
- Two dice positions are shown, with digit 5 on the base.
- Identify the digit on the top face.
Question 3
- Two dice positions are shown.
- With 6 at the bottom, identify the number at the top.
Question 4
- Two dice positions are provided.
- If 2 is at the top, determine the number at the bottom.
Question 5
- Two dice positions are shown.
- Determine what number is opposite to 6.
- Each surface bears a number from 1 to 6.
Question 6
- A cube's six faces are coated with V, I, B, G, Y, and O.
- Y, O, and B are on adjacent faces
- I, G, and Y are on adjacent faces.
- B, G, and Y are on adjacent faces.
- O, V, and B are on adjacent faces.
- Determine the color opposite to the face colored with V.
Question 7
- A 1 cm cube is removed from a 4 cm cube.
- Find the remaining portion's weight.
Question 8
- Two positions of a parallelepiped are shown.
- If 2 is on top, determine the number at the bottom.
Question 9
- Two positions of a block are shown.
- Determine the number at the bottom when 6 is at the top.
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