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Area and Volume Area is the amount of space contained in a two-dimensional figure Volume is the amount of space in a three-dimensional figure.

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Presentation on theme: "Area and Volume Area is the amount of space contained in a two-dimensional figure Volume is the amount of space in a three-dimensional figure."β€” Presentation transcript:

1 Area and Volume Area is the amount of space contained in a two-dimensional figure Volume is the amount of space in a three-dimensional figure

2 Squares and Rectangles
Remember, the area of a square or rectangle is given by 𝐴=π‘™π‘’π‘›π‘”π‘‘β„Ž π‘₯ π‘€π‘–π‘‘π‘‘β„Ž A square is a rectangle with four equal sides Find the area of the following rectangle: The three-dimensional version of a square or rectangle is called a rectangular prism (different side lengths) or a cube (same side lengths)

3 Triangles Recall that the area of a triangle is given by 𝐴= 1 2 π‘βˆ—β„Ž
Find the area of the following triangles, using the formula: A three-dimensional figure with a square base and triangular faces is called a pyramid

4 Area and Volume Area!

5 Representing 3-d Figures: Nets
A β€œnet” is used to represent a three-dimensional shape on a two-dimensional piece of paper

6 Volume of a Prism To calculate the volume of a prism, multiply the area of the base by the height Or, Volume = length x width x height

7 Volume of a Pyramid Finding the volume of a pyramid, multiply the area of the base times height, then multiply by one-third π΄π‘Ÿπ‘’π‘Ž= 1 3 βˆ—π΄π‘Ÿπ‘’π‘Ž π‘œπ‘“ π΅π‘Žπ‘ π‘’ βˆ—π»π‘’π‘–π‘”β„Žπ‘‘ Or, π΄π‘Ÿπ‘’π‘Ž= 1 3 βˆ—π‘™βˆ—π‘€βˆ—β„Ž


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