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.
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A square pyramid has 5 faces. If one face is a square base, how many triangular faces does it have?
- 3
- 4
- 5
- 6
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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?
- 3
- 4
- 5
- 6
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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?
- Yes
- No
- Only if the squares are cut out
- Cannot be determined
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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?
- 6
- 8
- 12
- 16
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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?
- Yes
- No
- Only if the squares are arranged differently
- Cannot be determined
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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.