Properties and Types of Prisms

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What is a prism in geometry?

A prism is a three-dimensional shape with two parallel, congruent bases connected by rectangular or parallelogram-shaped faces.

What are the faces of a prism called?

The faces that connect the two bases are called lateral faces.

How is the surface area of a prism calculated?

The surface area of a prism is the sum of the areas of all its faces, including the bases and lateral faces.

What is the difference between a right prism and an oblique prism?

A right prism has lateral faces that are perpendicular to its bases, while an oblique prism has lateral faces that are not perpendicular.

How do you describe a rectangular prism?

A rectangular prism has bases that are rectangles, and its lateral faces are also rectangles.

What is the formula used to find the volume of a prism?

Volume = Area of Base × Height.

What is the defining feature of a regular prism?

In a regular prism, the bases are regular polygons.

Is a cylinder considered a prism? Why or why not?

Yes, a cylinder is considered a type of prism with circular bases.

What distinguishes a triangular prism from other prisms?

A triangular prism has triangular bases, making its total number of faces 5.

How many edges does a pentagonal prism have?

A pentagonal prism has 15 edges.

Identify the bases of a cube considered as a prism.

In a cube, any pair of opposite faces can be considered as bases because all faces are congruent squares.

What type of prism results when the base is a hexagon?

The prism is called a hexagonal prism.

Describe the cross-section of a prism parallel to its base.

The cross-section is congruent to the base of the prism.

Explain the role of diagonals in understanding prism structure.

Diagonals connect non-adjacent vertices on the same or different faces, helping to understand symmetry and properties of the prism.

How can you differentiate between a prism and a pyramid?

A prism has two parallel, congruent bases, while a pyramid has only one base with all faces converging at a single apex.





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Select the correct option


1. What is a prism in geometry?

A prism is a shape with a single curved surface.

A prism is a three-dimensional shape with two parallel, congruent bases connected by rectangular or parallelogram-shaped faces.

A prism is a solid with equal length sides and triangular faces.

A prism is a polygon with only four faces.

2. What are the faces of a prism called?

Base faces.

Vertical faces.

The faces that connect the two bases are called lateral faces.

Prism sides.

3. How is the surface area of a prism calculated?

Area of the bases multiplied by the height.

Only the area of the lateral faces.

The surface area of a prism is the sum of the areas of all its faces, including the bases and lateral faces.

The area of the base squared.

4. What is the difference between a right prism and an oblique prism?

A right prism has lateral faces that are perpendicular to its bases, while an oblique prism has lateral faces that are not perpendicular.

A right prism is smaller than an oblique prism.

A right prism has more edges than an oblique prism.

A right prism is always rectangular, whereas an oblique prism is not.

5. How do you describe a rectangular prism?

It has triangular bases and rectangular lateral faces.

It has cylindrical shape with curved surfaces.

A rectangular prism has bases that are rectangles, and its lateral faces are also rectangles.

It looks like a regular hexagonal shape.

6. What is the formula used to find the volume of a prism?

Volume = Area of Base × Height.

Volume = Perimeter of Base + Height.

Volume = Base height × Width of base.

Volume = Base area × Length of edges.

7. What is the defining feature of a regular prism?

A regular prism has circular bases.

In a regular prism, the bases are regular polygons.

All lateral faces are cubes.

It has the same number of edges as vertices.

8. Is a cylinder considered a prism? Why or why not?

No, a cylinder is not a prism because it does not have rectangular sides.

No, cylinders have bases with varying widths.

Yes, a cylinder is considered a type of prism with circular bases.

No, cylinders have no parallel bases.

9. What distinguishes a triangular prism from other prisms?

A triangular prism has triangular bases, making its total number of faces 5.

It always has hexagonal bases.

It has cylindrical sides.

It is wider than it is tall.

10. How many edges does a pentagonal prism have?

12 edges.

10 edges.

20 edges.

A pentagonal prism has 15 edges.

11. Identify the bases of a cube considered as a prism.

The bases are the top and bottom faces only.

In a cube, any pair of opposite faces can be considered as bases because all faces are congruent squares.

Only the left and right faces are considered as bases.

Only the front and back faces are bases.

12. What type of prism results when the base is a hexagon?

Octagonal prism.

Triangular prism.

The prism is called a hexagonal prism.

Square pyramid.

13. Describe the cross-section of a prism parallel to its base.

The cross-section is congruent to the base of the prism.

The cross-section is a smaller rectangle.

It is half the area of the base.

The cross-section is a line segment.

14. Explain the role of diagonals in understanding prism structure.

Diagonals determine the color of a prism.

Diagonals connect non-adjacent vertices on the same or different faces, helping to understand symmetry and properties of the prism.

Diagonals are only present in the base of a prism.

Diagonals are the shortest distance between any two points on the same face.

15. How can you differentiate between a prism and a pyramid?

A prism has rounded edges, a pyramid does not.

A prism has pointed ends, a pyramid is round.

A prism has two parallel, congruent bases, while a pyramid has only one base with all faces converging at a single apex.

In a pyramid, all faces are perpendicular to the base; in a prism, they are not.