Representing 3D in 2D (nets, vertices, faces) Quiz - ICSE Class 7 Mathematics
Free practice quiz: Representing 3D in 2D (nets, vertices, faces) (ICSE Class 7 Mathematics). 46 multiple-choice questions with answers and explanations. Play online, no sign-up needed.
This ICSE Class 7 Mathematics practice quiz has 46 multiple-choice questions on Representing 3D in 2D (nets, vertices, faces), and 46 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.
Start quiz: 46 questions, freeSample questions
A square pyramid has 5 faces. If one face is a square base, how many triangular faces does it have?
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Answer: B. 4
A square pyramid has one square base and four triangular faces that meet at an apex. Therefore, it has 4 triangular faces.
A net of a triangular pyramid (tetrahedron) consists of how many triangles?
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Answer: B. 4
A triangular pyramid, also known as a tetrahedron, has four faces, and all of them are triangles. Therefore, its net consists of four triangles.
Consider a net of a cube that looks like a 2x3 grid of squares with two squares removed from the ends of the middle row. Can this net form a cube?
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Answer: B. No
A valid net for a cube must have 6 squares connected in a way that allows folding into a closed box. A 2x3 grid has 6 squares. If two squares are removed, you are left with only 4 squares. A cube requires 6 faces.
How many edges does a cuboid have?
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Answer: C. 12
A cuboid has 12 edges. These are the lines where two faces meet. It has 4 edges on the top face, 4 edges on the bottom face, and 4 vertical edges connecting the top and bottom faces.
Consider a net that looks like a strip of 4 squares. If a fifth square is attached to the top of the first square and a sixth square is attached to the bottom of the fourth square, can this form a cube?
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Answer: B. No
This net describes a 1x4 strip with squares attached to the ends. This arrangement would not fold into a cube. A common cube net involves 4 squares in a row with one above the second and one below the third, or a cross shape. This described net doesn't have the correct connectivity.
More questions in this quiz
Answers and explanations are in the full quiz.
- How many vertices does a cuboid have?
- A triangular prism has 2 triangular bases and 3 rectangular faces. How many edges does it have in total?
- A tetrahedron is a polyhedron with 4 faces. If all faces are equilateral triangles, it is a regular tetrahedron. How many vertices does a tetrahedron have?
- A pentagonal prism has two pentagonal bases and five rectangular faces. How many vertices does it have?
- Which 2D shape is the net for a cone?
- A cylinder has two circular bases. How many faces does it have?
- Consider a net for a rectangular prism. If the net has 6 rectangles, what is the minimum number of edges the net can have when unfolded?
- How many edges does a pentagonal pyramid have?
- Which of the following statements about a cube's net is INCORRECT?
- How many faces does an octagonal prism have?
- A square prism is another name for a cuboid where the base is a square. How many vertices does a square prism have?
- Which 3D shape is formed by folding a net consisting of one rectangle and two semi-circles attached to opposite sides of the rectangle?
- How many edges does a hexagonal pyramid have?
- A polyhedron has 7 faces and 10 vertices. How many edges does it have? (Use Euler's formula: V - E + F = 2)
- Which 2D shape is the net for a triangular prism?
- How many faces, vertices, and edges does a dodecahedron have? (A dodecahedron has 12 regular pentagonal faces)
- A pyramid has a square base and 4 triangular faces. How many vertices does it have?
- Which of the following nets can be folded to form a hexagonal prism?
- How many edges does a cube have?
- A net for a triangular prism has 5 faces in total. What shapes are these faces?
- Which of the following nets CANNOT be folded into a cone?
- How many vertices does a triangular prism have?
- Consider Euler's formula V - E + F = 2. If a polyhedron has 10 edges and 7 faces, how many vertices does it have?
- Which of the following 2D shapes is NOT part of the net of a pentagonal pyramid?
- Which of the following 3D shapes has exactly 12 edges and 8 vertices?
- A net consists of one square and four triangles attached to its sides. What 3D shape can be formed?
- How many faces does a hexagonal pyramid have?
- If a polyhedron has 5 faces and 6 vertices, how many edges does it have? (Use Euler's formula: V - E + F = 2)
- How many vertices does a pentagonal pyramid have?
- A cylinder has 3 faces. What are they?
- Which of the following shapes, when folded, forms a sphere?
- How many faces does an octahedron have?
- A polyhedron has 12 faces and 18 edges. How many vertices does it have? (Use Euler's formula: V - E + F = 2)
- Which of the following nets can be folded to form a triangular pyramid (tetrahedron)?
- How many vertices does a regular icosahedron have? (An icosahedron has 20 equilateral triangular faces)
- How many faces does a regular tetrahedron have?
- How many edges does a triangular pyramid have?
- Which statement is true about the net of a cone?
- A polyhedron has 6 faces and 8 vertices. How many edges does it have? (Use Euler's formula: V - E + F = 2)
- How many edges does a square pyramid have?
- A net for a cube has 6 squares. How many edges does the net typically have when laid flat (considering all lines, internal and external)?
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