Questions and Answers
What is the defining characteristic of a prism?
What would you call a prism with a pentagon as a base?
What is the important measurement needed from the base to calculate surface area and volume?
What is the shape of the cross-section of a prism if you cut it anywhere along its length?
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What does the letter 'B' represent in a prism?
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What is the formula to find the surface area of a prism?
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What is the unit of measurement for the volume of a prism?
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What is the purpose of finding the perimeter of the base in calculating the surface area?
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What is the formula to find the volume of a prism?
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What is the significance of the height of the prism in calculating the surface area?
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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.