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Geometry: Understanding Prisms

Created by

@AccomplishedBixbite

Questions and Answers

What is the defining characteristic of a prism?

A circular cross-section

A rectangular shape

Parallel straight sides (correct)

A polygonal base

What would you call a prism with a pentagon as a base?

Pentagonal prism (correct)

Octagonal prism

Triangular prism

Hexagonal prism

What is the important measurement needed from the base to calculate surface area and volume?

Length of the base

Height of the prism

Area of the base (correct)

Perimeter of the base

What is the shape of the cross-section of a prism if you cut it anywhere along its length?

Same as the base Signup and view all the answers

What does the letter 'B' represent in a prism?

Area of the base Signup and view all the answers

What is the formula to find the surface area of a prism?

Surface Area = 2 * B + P * h Signup and view all the answers

What is the unit of measurement for the volume of a prism?

inches cubed Signup and view all the answers

What is the purpose of finding the perimeter of the base in calculating the surface area?

To find the surface area of the sides of the prism Signup and view all the answers

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

Volume = B * h Signup and view all the answers

What is the significance of the height of the prism in calculating the surface area?

It is used to find the surface area of the sides of the prism Signup and view all the answers

Study Notes

Prisms

A prism is a three-dimensional object with parallel straight sides and a top and bottom base that are the same polygonal shape.
The base can be any polygonal shape, such as a triangle, square, or pentagon.
Prisms are identified by their bases, e.g., a triangular prism, square prism, or pentagonal prism.

Measurements

The area of the base (B) is an important measurement for calculating surface area and volume.
The perimeter of the base (P) is another important measurement.
The height of the prism (h) is the third important measurement.

Surface Area

The formula to find the surface area is: Surface Area = 2 * B + P * h
The surface area includes the area of the base, perimeter, and height.

Volume

The formula to find the volume is: Volume = B * h
The volume only requires the area of the base and the height.
Volume is always cubed, so the answer ends with measuring units cubed.

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Description

Learn about prisms, including their measurements, surface area, and volume. Discover how to identify these 3D objects with parallel sides and polygonal bases.