1. Surface Area of Rectangular Prisms
Unit 4, Lesson 16

2. Today’s standard: CCSS. MATH. CONTENT. 7. G. B
Today’s standard: CCSS.MATH.CONTENT.7.G.B.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and three- dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
How will you prove you understand this topic? By scoring at least 75% (3 out of 4) on the exit ticket.

3. Surface area is the combined area of every side of a 3-D shape.
Painting the outside of a 3-D object or wrapping it in paper would require knowing the surface area.

4. To calculate the surface area, find the area of each side by itself and add them together.
A rectangular prism has 6 sides so you would find the area of and then add them together.

5. Example
What is the surface area of this rectangular prism?
Let’s start by finding the area of the front face.

6. Example
Area of front: cm x 5 cm = 15 cm²
The back and front are equal so the back also = 15 cm²
Next, let’s figure out the left/right sides

7. Example
Area of right side: cm x 5 cm = 20 cm²
The left side is also 20 cm².
Finally, let’s figure out the top/bottom

8. Example
Area of bottom: cm x 4 cm = 12 cm²
The top is also 12 cm².

9. Surface area = 15 + 15 + 20 + 20 + 12 + 12 = 94 cm²
Example
front
back
right
left
bottom
top
Surface area = = cm²
Surface area is units² even though it’s a 3-D shape because you are painting flat areas, not filling up the volume.

10. Find the surface area