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Volume of Composite Figures Flashcards

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Questions and Answers

What is the formula for the volume of a pyramid?

1/3 Bh (correct)

1/3πr² h

LWH

πr² h

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?

πr² h Signup and view all the answers

What is the formula for the volume of a triangular prism?

Bh Signup and view all the answers

The composite figure is made up of a _______ _ on top of a .

Rectangular Prism and Rectangular Prism Signup and view all the answers

What is the volume of the composite figure in cubic inches?

372 Signup and view all the answers

The composite figure is made up of a rectangular prism and a _.

square pyramid Signup and view all the answers

What is the volume of this composite figure in cm?

892 Signup and view all the answers

The top figure in the composite figure is called a ___________.

triangular prism Signup and view all the answers

What is the volume of the composite figure in cubic inches?

1,428 Signup and view all the answers

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.

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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.