Warm Up Find the perimeter and area of each polygon. Show work and include units! in 6 in 5 in 25 m 20 m 12 m 13 m 14 cm 11 cm 8 cm

Lesson 5-1: Surface Area of Cubes and Rectangular Prisms I can… find the surface area of a cube. find the surface area of a rectangular prism. Vocabulary Surface Area Net Cube Right Prism

Surface Area The total area of the surface of a three dimensional object *We will use nets to help us determine the surface area

Net A two-dimensional figure that can be folded on its segments or curved on its boundaries to form a three-dimensional figure.

Cube A three-dimensional figure with 6 square faces.

Surface Area of a Cube First, let’s draw a net of a cube. 1. If one side length is 3 cm long, what is the area of one square? 2. How many squares do we have? 3. What is our surface area for this cube? 9 squared cm 6 squares 54 squared cm

Video Over Surface Area of a Cube

Examples What is the surface area of the cube?

Right Prism A prism that has two bases, one directly above the other, and has its lateral faces as rectangles.

Rectangular Prism A prism with six rectangular faces.

Video Over Surface Area of a Rectangular Prism

Surface Area of a Rectangular Prism First, let’s draw a net of a rectangular prism. SA= 2[(length x width) +(length x height)+(width x height)] SA= 2[(3 x 2)+(3 x 6)+(2 x 6)] SA= 2[(6)+(18)+(12)] SA= 2(36) SA= 72 squared cm

Examples What is the surface area of the rectangular prism? SA= 2[(5 x 4)+(5 x 10)+(4 x 10)] SA= 2[(20)+(50)+(40)] SA= 2(110) SA= 220 squared cm