Class 8 Exam > Class 8 Notes > Know Your Aptitude Class 6 To 8 > Worksheet: Cubes
Worksheet: Cubes | Know Your Aptitude Class 6 To 8 - Class 8 PDF Download
Multiple Choice Questions (MCQs)
Q1: 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?
(a) 24
(b) 8
(c) 12
(d) 20
Q2: 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?
(a) 24
(b) 16
(c) 8
(d) 10
Q3: Directions: Observe the figure of a plane view of a cube and answer the given questions following it. 
Which two faces will be opposite to each other?
(a) P and R
(b) Q and S
(c) P and U
(d) Q and U
Q4: Directions: Observe the figure of a plane view of a cube and answer the given questions following it. 
Which face will be at top if face "T" will be at the bottom?
(a) Q
(b) R
(c) S
(d) U
Q5: Directions: Observe the figure of a plane view of a cube and answer the given questions following it. 
Which face will be opposite to face "T" after folding a cube?
(a) P
(b) Q
(c) R
(d) S
Q6: What is the maximum number of identical pieces a cube can be cut into by 7 cuts?
(a) 27
(b) 36
(c) 38
(d) 49
Q7: What is the least number of cuts required to cut a cube into 24 identical pieces?
(a) 5
(b) 6
(c) 7
(d) 8
Q8: Count the number of cubes in the given figure.
(a) 64
(b) 66
(c) 68
(d) 70
Q9: Count the number of cubes in the given figure.
(a) 25
(b) 30
(c) 32
(d) 34
Q10: Count the number of blocks in the given figure.
(a) 6
(b) 7
(c) 8
(d) 9
You can access the solutions to this worksheet here.
The document Worksheet: Cubes | Know Your Aptitude Class 6 To 8 - Class 8 is a part of the Class 8 Course Know Your Aptitude Class 6 To 8.
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FAQs on Worksheet: Cubes - Know Your Aptitude Class 6 To 8 - Class 8
| 1. What are the basic properties of cubes that one should understand for solving related problems? |  |
Ans. Cubes are three-dimensional geometric figures with six equal square faces. Each face meets the others at right angles, and all edges of the cube are of equal length. The volume of a cube can be calculated using the formula V = a^3, where 'a' is the length of an edge. The surface area is given by the formula A = 6a^2. Understanding these properties is crucial for solving problems related to cubes.
| 2. How do you calculate the volume and surface area of a cube? | |
Ans. To calculate the volume of a cube, use the formula V = a^3, where 'a' is the length of one edge. For the surface area, use the formula A = 6a^2, where 'a' is again the length of one edge. Both of these calculations require knowing the edge length of the cube.
| 3. What are some common mistakes to avoid when working with cubes in geometry? | |
Ans. Common mistakes include confusing the formulas for volume and surface area, forgetting to cube the edge length when calculating volume, and mixing up the dimensions (length, width, height) of the cube, as all edges are equal. It’s also important to ensure that all measurements are in the same units when performing calculations.
| 4. How can cubes be applied in real-world situations? | |
Ans. Cubes are used in various real-world applications such as packaging (boxes), architecture (cube-shaped buildings), and storage (cubic containers). They are also commonly used in gaming, such as dice, which are cubes that offer a random number generation mechanism. Understanding the properties of cubes can help in optimizing space and materials in these contexts.
| 5. Are there any advanced topics related to cubes that can be explored further? | |
Ans. Yes, advanced topics include studying the properties of cube roots, exploring the concept of cube numbers in mathematics, and investigating the relationship between cubes and other geometric shapes, such as rectangular prisms. Additionally, one can delve into the study of cube packing problems and their applications in optimization and logistics.
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Oct 12, 2025
Last updated
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