Identifying 3D Shapes: Faces, Vertices, Prisms

What shape are the faces of a cube?

• Triangle

• Circle

• Square

• Rectangle

Answer explanation

The faces of a cube are in the shape of a square. Each face of a cube is a square, making it a cube with six square faces.

How many edges does a triangular prism have?

• 6

• 9

• 12

• 5

Answer explanation

A triangular prism has 9 edges. It consists of 3 rectangular faces and 2 triangular faces, resulting in 3+3+3=9 edges.

Which of the following shapes has all its faces identical?

• Cube

• Triangular Prism

• Rectangular Prism

• None of the above

Answer explanation

The Cube is the shape that has all its faces identical, making it the correct choice out of the options provided.

How many vertices does a rectangular prism have?

• 6

• 8

• 4

• 12

Answer explanation

A rectangular prism has 8 vertices, with 2 at each of the 4 corners. Therefore, the correct answer is 8.

What is the main difference between a prism and a pyramid?

• A prism has a circular base, while a pyramid does not.

• A pyramid comes to a point at the top, while a prism does not.

• A prism has no vertices, while a pyramid does.

• A pyramid has only one base, while a prism has two.

Answer explanation

A pyramid comes to a point at the top, while a prism does not.

How many faces does a triangular prism have?

• 3

• 4

• 5

• 6

Answer explanation

A triangular prism has 5 faces: 2 triangular faces and 3 rectangular faces. Therefore, the correct answer is 5.

Which of the following is a characteristic of a cube?

• All faces are triangles.

• All edges are of equal length.

• It has 5 vertices.

• It has no parallel faces.

Answer explanation

The characteristic of a cube is that all edges are of equal length, making this the correct choice.

How many edges does a rectangular prism have?

• 6

• 8

• 12

• 14

Answer explanation

A rectangular prism has 12 edges. Each face of the prism has 4 edges, and there are 3 pairs of parallel faces, resulting in a total of 12 edges.

What shape is the base of a triangular prism?

• Square

• Rectangle

• Triangle

• Circle

Answer explanation

The base of a triangular prism is in the shape of a triangle, not a square, rectangle, or circle.

Which of the following does NOT have all its faces as rectangles?

• Cube

• Triangular Prism

• Rectangular Prism

• All of the above have all their faces as rectangles

Answer explanation

The correct choice is Triangular Prism because it does not have all its faces as rectangles, unlike Cube and Rectangular Prism.