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### Lesson 5-1:Surface Area of Cubes and Rectangular Prisms

Find the perimeter and area of each polygon. Show work and include units!

1. 2.

3.

20 m

12 m

6 in

13 m

12 m

5 in

25 m

7 in

14 cm

Warm Up8 cm

11 cm

I can…

Vocabulary

- Surface Area
- Net
- Cube
- Right Prism

- find the surface area of a cube.
- find the surface area of a rectangular prism.

The total area of the surface of a three dimensional object

*We will use nets to help us

determine the surface area

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

NetFirst, let’s draw a net of a cube.

1. If one side length is 3 cm long, what is the area of one square?

9 squared cm

2. How many squares do we have?

6 squares

Surface Area of a Cube3. What is our surface area for this cube?

54 squared cm

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

Right PrismFirst, 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)]

Surface Area of a Rectangular PrismSA= 2[(6)+(18)+(12)]

SA= 2(36)

SA= 72 squared cm

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

Examples
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