3D Shapes Faces, Vertices And Edges Quiz

1.

Which shape is a cube?

A

C

D

The shape D is a cube because it has six equal square faces. A cube is a three-dimensional shape with equal length, width, and height, and all its faces are congruent squares. Therefore, shape D fits this description and is a cube.

Explanation

The shape D is a cube because it has six equal square faces. A cube is a three-dimensional shape with equal length, width, and height, and all its faces are congruent squares. Therefore, shape D fits this description and is a cube.

2. Which two solids below have the same number of faces?

Solids B and C

Solids A and B

Solids A and D

Shape A is a rectangular prism, which has 6 faces.

Shape B is a cylinder, which has 3 faces.

Shape C is a sphere, which has 1 continuous curved surface and no distinct faces.

Shape D is a cube, which also has 6 faces.

Shapes A and D both have 6 faces. Therefore, these two solids have the same number of faces.

Explanation

Shape A is a rectangular prism, which has 6 faces.

Shape B is a cylinder, which has 3 faces.

Shape C is a sphere, which has 1 continuous curved surface and no distinct faces.

Shape D is a cube, which also has 6 faces.

Shapes A and D both have 6 faces. Therefore, these two solids have the same number of faces.

3. Which statement below is true?

This solid figure had 6 corners (vertices).

This solid figure is called a pyramid.

This solid figure has 8 faces.

The solid figure shown is a triangular prism, which has 6 vertices, 9 edges, and 5 faces (2 triangular and 3 rectangular). It is not a pyramid, as a pyramid has a single base and converges to a single point (apex). A triangular prism has two parallel triangular bases connected by rectangular faces. Each corner where edges meet is called a vertex, and there are 6 vertices in total in a triangular prism.

Explanation

The solid figure shown is a triangular prism, which has 6 vertices, 9 edges, and 5 faces (2 triangular and 3 rectangular). It is not a pyramid, as a pyramid has a single base and converges to a single point (apex). A triangular prism has two parallel triangular bases connected by rectangular faces. Each corner where edges meet is called a vertex, and there are 6 vertices in total in a triangular prism.

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5. Which shape has three faces?

A

B

C

D

A cylinder has two circular faces (one on the top and one on the bottom) and one curved rectangular face that wraps around the sides. This totals three faces: two flat circular faces and one curved face.

Explanation

A cylinder has two circular faces (one on the top and one on the bottom) and one curved rectangular face that wraps around the sides. This totals three faces: two flat circular faces and one curved face.

6.

How many faces does this shape have?

4

5

6

3

The shape in the image is a triangular prism.

A triangular prism has 5 faces:

2 triangular faces (the two ends)

3 rectangular faces (connecting the sides of the triangles)

So, the shape shown has 5 faces.

Explanation

The shape in the image is a triangular prism.

A triangular prism has 5 faces:

2 triangular faces (the two ends)

3 rectangular faces (connecting the sides of the triangles)

So, the shape shown has 5 faces.

7. Compare the three-dimensional solids below.

Which statement below is true?

The triangular prism has more edges than the cube.

The cube and the triangular prism have the same number of vertices.

The cube has more edges than the triangular prism.

Cube:

Edges: A cube has 12 edges.

Vertices: A cube has 8 vertices.

Triangular Prism:

Edges: A triangular prism has 9 edges.

Vertices: A triangular prism has 6 vertices.

Given this information, the correct statement is:

"The cube has more edges than the triangular prism."

Explanation

Cube:

Edges: A cube has 12 edges.

Vertices: A cube has 8 vertices.

Triangular Prism:

Edges: A triangular prism has 9 edges.

Vertices: A triangular prism has 6 vertices.

Given this information, the correct statement is:

"The cube has more edges than the triangular prism."

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