Questions and Answers
What is the formula for the volume of a pyramid?
What is the formula for the volume of a rectangular prism?
LWH
What is the formula for the volume of a cone?
1/3πr² h
What is the formula for the volume of a cylinder?
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What is the formula for the volume of a triangular prism?
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The composite figure is made up of a ___________ _______ on top of a __________ ________.
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What is the volume of the composite figure in cubic inches?
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The composite figure is made up of a rectangular prism and a ________ _________.
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What is the volume of this composite figure in cm?
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The top figure in the composite figure is called a ___________.
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What is the volume of the composite figure in cubic inches?
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Study Notes
Volume Formulas
- Pyramid volume formula: V = 1/3 Bh (where B = base area, h = height).
- Rectangular prism volume formula: V = LWH (length, width, height).
- Cone volume formula: V = 1/3 πr² h (where r = radius of base, h = height).
- Cylinder volume formula: V = πr² h (where r = radius of base, h = height).
- Triangular prism volume formula: V = Bh (B = area of the triangular base, h = height).
Composite Figures
- Composite figures can be formed by combining two types of shapes, like rectangular prisms and rectangular prisms or horizontal and vertical cuboids.
- A specific composite figure example consists of a rectangular prism and a square pyramid.
Volume of Composite Figures
- Example volumes of composite figures include 372 cubic inches and 892 cm depending on the dimensions provided.
- Another example illustrated a composite figure with a total volume of 1,428 cubic inches.
Identifying Parts
- The top figure of a composite figure can often be a triangular prism, which is a common shape in composite constructions.
Studying That Suits You
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Description
Test your understanding of the volume formulas for various geometric shapes with these flashcards. Each card provides a definition for a specific shape, including pyramids, cones, and prisms. Perfect for students in geometry wanting to master composite figures.
