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All questions of 3D Shapes for Class 6 Exam
What is the difference between capacity and volume?- a) Capacity is the maximum amount a container can hold, while volume is the amount of substance currently in the container.
- b) Capacity refers to the amount of space a container occupies, while volume is the maximum it can hold.
- c) Both terms mean the same thing.
- d) Volume can only be measured in litres, while capacity can be measured in millilitres.
Correct answer is option 'A'. Can you explain this answer?
What is the difference between capacity and volume?
a)
Capacity is the maximum amount a container can hold, while volume is the amount of substance currently in the container.
b)
Capacity refers to the amount of space a container occupies, while volume is the maximum it can hold.
c)
Both terms mean the same thing.
d)
Volume can only be measured in litres, while capacity can be measured in millilitres.
|
Subset Academy answered |
Capacity is defined as the maximum amount that a container can hold, while volume refers to the actual amount of substance that occupies that space. For example, a jug may have a capacity of 600 ml but could contain only 500 ml of water at a given time. This distinction is vital in practical scenarios like cooking and storage.
If the surface area of a cube is 150 cm², what is the side length of the cube?- a) 5 cm
- b) 6 cm
- c) 15 cm
- d) 10 cm
Correct answer is option 'A'. Can you explain this answer?
If the surface area of a cube is 150 cm², what is the side length of the cube?
a)
5 cm
b)
6 cm
c)
15 cm
d)
10 cm
|
Freak Artworks answered |
To find the side length, use the formula for surface area:
6s² = 150
s² = 25
s = 5 cm
This calculation is important in various applications where determining dimensions is necessary for design, construction, and manufacturing processes.
6s² = 150
s² = 25
s = 5 cm
This calculation is important in various applications where determining dimensions is necessary for design, construction, and manufacturing processes.
What is a compound shape in geometry?- a) A 3D shape formed by combining two or more simpler 3D shapes
- b) A shape that consists of only one simple geometric figure
- c) A shape that has no area or volume
- d) A 2D shape that can be folded to create a 3D object
Correct answer is option 'A'. Can you explain this answer?
What is a compound shape in geometry?
a)
A 3D shape formed by combining two or more simpler 3D shapes
b)
A shape that consists of only one simple geometric figure
c)
A shape that has no area or volume
d)
A 2D shape that can be folded to create a 3D object
|
Rahul Kumar answered |
A compound shape is defined as a 3D shape that is made by combining two or more simpler shapes, such as cubes or cuboids. Understanding compound shapes is essential in geometry as it helps in visualizing complex structures by breaking them down into more manageable components. This concept is commonly used in architecture and design to create functional and aesthetically pleasing objects.
To find the surface area of a cuboid, which calculation is necessary?- a) Sum of the areas of all the edges
- b) Multiply the length by the width
- c) Sum of the areas of all the faces
- d) Find the volume and subtract it from full capacity
Correct answer is option 'C'. Can you explain this answer?
To find the surface area of a cuboid, which calculation is necessary?
a)
Sum of the areas of all the edges
b)
Multiply the length by the width
c)
Sum of the areas of all the faces
d)
Find the volume and subtract it from full capacity
|
Torcia Education answered |
The surface area of a cuboid is calculated by summing the areas of all its faces. Specifically, this involves calculating the area of each rectangular face and adding them together. This method is crucial for determining how much material is needed to cover the cuboid, which is important in construction and design.
What would be the volume of a container that is half full if its total capacity is 1 litre?- a) 250 ml
- b) 500 ml
- c) 750 ml
- d) 1000 ml
Correct answer is option 'B'. Can you explain this answer?
What would be the volume of a container that is half full if its total capacity is 1 litre?
a)
250 ml
b)
500 ml
c)
750 ml
d)
1000 ml
|
|
Torcia Education answered |
If a container has a total capacity of 1 litre, being half full means it contains 500 ml of liquid. This simple calculation is helpful in daily life, such as when measuring beverages or ingredients in cooking.
How would you describe the net of a square-based pyramid?- a) Two squares and three rectangles
- b) One square and four triangles
- c) Four triangles and one rectangle
- d) Five squares
Correct answer is option 'B'. Can you explain this answer?
How would you describe the net of a square-based pyramid?
a)
Two squares and three rectangles
b)
One square and four triangles
c)
Four triangles and one rectangle
d)
Five squares
|
|
Torcia Education answered |
The net of a square-based pyramid consists of one square (the base) and four triangular faces that can be folded to form the pyramid. Understanding nets is crucial in geometry as it helps visualize how 3D shapes are constructed, which is applicable in fields such as architecture and design.
What is the maximum capacity of a container if it can hold 1200 ml of liquid?- a) 1.2 litres
- b) 120 litres
- c) 1 litre
- d) 0.12 litres
Correct answer is option 'A'. Can you explain this answer?
What is the maximum capacity of a container if it can hold 1200 ml of liquid?
a)
1.2 litres
b)
120 litres
c)
1 litre
d)
0.12 litres
|
Edgy Education answered |
The maximum capacity of a container that holds 1200 ml is 1.2 litres, as dividing by 1000 converts millilitres to litres. This understanding is essential for accurately measuring larger quantities in various contexts, such as cooking and storage.
When measuring liquid ingredients for cooking, what is an example of how to convert units?- a) 2500 ml = 2.5 litres
- b) 100 ml = 0.1 litres
- c) 1500 ml = 15 litres
- d) 500 ml = 5 litres
Correct answer is option 'A'. Can you explain this answer?
When measuring liquid ingredients for cooking, what is an example of how to convert units?
a)
2500 ml = 2.5 litres
b)
100 ml = 0.1 litres
c)
1500 ml = 15 litres
d)
500 ml = 5 litres
|
|
Torcia Education answered |
The correct conversion is 2500 ml = 2.5 litres, as dividing 2500 by 1000 gives the equivalent in litres. This understanding helps in cooking and baking, where precise measurements are crucial for recipe accuracy and consistency.
How many faces does a triangular prism have?- a) Six
- b) Four
- c) Three
- d) Five
Correct answer is option 'D'. Can you explain this answer?
How many faces does a triangular prism have?
a)
Six
b)
Four
c)
Three
d)
Five
|
|
Freak Artworks answered |
A triangular prism has a total of five faces: two triangular faces and three rectangular faces. This configuration allows the prism to maintain its shape while having volume. Triangular prisms are often found in various real-life applications, including architectural designs and engineering structures.
What is the formula for calculating the surface area of a cube?- a) 6 · s³
- b) s²
- c) 6 · s²
- d) 6 · s
Correct answer is option 'C'. Can you explain this answer?
What is the formula for calculating the surface area of a cube?
a)
6 · s³
b)
s²
c)
6 · s²
d)
6 · s
|
|
Subset Academy answered |
The surface area of a cube can be calculated using the formula 6 · s², where s is the length of one side of the cube. This formula arises because a cube has six faces, and each face is a square with an area of s². Understanding surface area is crucial in fields such as packaging and manufacturing, where the material required for surfaces must be calculated.
What is the relationship between the areas of 2D shapes and the surface area of 3D shapes?- a) Surface area is always larger than the total area of 2D shapes.
- b) 2D shapes have no area.
- c) They are completely unrelated.
- d) The surface area of 3D shapes is derived from the sum of the areas of their constituent 2D shapes.
Correct answer is option 'D'. Can you explain this answer?
What is the relationship between the areas of 2D shapes and the surface area of 3D shapes?
a)
Surface area is always larger than the total area of 2D shapes.
b)
2D shapes have no area.
c)
They are completely unrelated.
d)
The surface area of 3D shapes is derived from the sum of the areas of their constituent 2D shapes.
|
|
Freak Artworks answered |
The surface area of a 3D shape is directly related to the sum of the areas of its constituent 2D shapes. This understanding is crucial in geometry, as it allows for the computation of material needed for surfaces in construction, packaging, and manufacturing.
If a container has a capacity of 2.5 litres, how many millilitres does it hold?- a) 1000 ml
- b) 250 ml
- c) 2500 ml
- d) 200 ml
Correct answer is option 'C'. Can you explain this answer?
If a container has a capacity of 2.5 litres, how many millilitres does it hold?
a)
1000 ml
b)
250 ml
c)
2500 ml
d)
200 ml
|
|
Subset Academy answered |
A capacity of 2.5 litres is equivalent to 2500 ml, as 1 litre equals 1000 ml. This conversion is essential in everyday scenarios, such as when measuring liquids in cooking or filling containers for storage.
What is the primary feature of a square-based pyramid?- a) It has no edges.
- b) It has a circular base.
- c) It has only triangular faces.
- d) It has a square base and four triangular faces.
Correct answer is option 'D'. Can you explain this answer?
What is the primary feature of a square-based pyramid?
a)
It has no edges.
b)
It has a circular base.
c)
It has only triangular faces.
d)
It has a square base and four triangular faces.
|
|
Edgy Education answered |
A square-based pyramid features a square base and four triangular faces that converge at a single point (the apex). This structure is commonly found in architecture and design, showcasing how geometric principles can create aesthetically pleasing forms.
Which of the following best describes a prism?- a) A 3D shape with one curved surface
- b) A 3D shape with two parallel, congruent bases connected by rectangular or parallelogram faces
- c) A shape with only triangular faces
- d) A flat shape that cannot be folded
Correct answer is option 'B'. Can you explain this answer?
Which of the following best describes a prism?
a)
A 3D shape with one curved surface
b)
A 3D shape with two parallel, congruent bases connected by rectangular or parallelogram faces
c)
A shape with only triangular faces
d)
A flat shape that cannot be folded
|
|
Rahul Kumar answered |
A prism is characterized by having two parallel and congruent bases connected by rectangular or parallelogram faces. Common examples include triangular prisms and rectangular prisms. Understanding prisms is important in both mathematics and real-world applications, such as in the construction of structures that require volume calculations.
What is an example of a net for a cube?- a) Two squares and three triangles
- b) One square and five triangles
- c) Four rectangles and two squares
- d) Six squares
Correct answer is option 'D'. Can you explain this answer?
What is an example of a net for a cube?
a)
Two squares and three triangles
b)
One square and five triangles
c)
Four rectangles and two squares
d)
Six squares
|
|
Subset Academy answered |
A net for a cube consists of six squares arranged in a way that allows them to be folded into the 3D shape of a cube. Understanding nets is important for visualizing how 3D shapes are constructed from 2D shapes, which is a key concept in geometry and design.
Chapter doubts & questions for 3D Shapes - Year 6 Mathematics IGCSE (Cambridge) 2025 is part of Class 6 exam preparation. The chapters have been prepared according to the Class 6 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 6 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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Year 6 Mathematics IGCSE (Cambridge)
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