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

Squares and Rectangles Remember, the area of a square or rectangle is given by 𝐴=𝑙𝑒𝑛𝑔𝑡ℎ 𝑥 𝑤𝑖𝑑𝑡ℎ 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)

Triangles Recall that the area of a triangle is given by 𝐴= 1 2 𝑏∗ℎ 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

Area and Volume Area!

Representing 3-d Figures: Nets A “net” is used to represent a three-dimensional shape on a two-dimensional piece of paper

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

Volume of a Pyramid Finding the volume of a pyramid, multiply the area of the base times height, then multiply by one-third 𝐴𝑟𝑒𝑎= 1 3 ∗𝐴𝑟𝑒𝑎 𝑜𝑓 𝐵𝑎𝑠𝑒 ∗𝐻𝑒𝑖𝑔ℎ𝑡 Or, 𝐴𝑟𝑒𝑎= 1 3 ∗𝑙∗𝑤∗ℎ