Videos and solutions to help grade 6 students learn how to use nets to determine the surface area of three-dimensional figures.
Lesson 17 Student Outcomes
Students use nets to determine the surface area of three-dimensional figures.
Lesson 17 Classwork
1. Write numerical expressions for the area of each figure below. Explain and identify different parts of the figure.
b. How would you write an equation that shows the area of a triangle with base b and height h?
d. How would you write an equation that shows the area of a rectangle with base b and height h?
Example 1
Use the net to calculate the surface area of the figure.
Example 2
Use the net to write an expression for surface area.
Explain the error in each problem below. Assume each box on the grid paper represents a 1 m × 1 m square.
3. Name of Shape: Rectangular Pyramid, but more specifically a Square Pyramid
Area of Base: 3 m × 3 m=9 m 2
Area of Triangles: 3 m × 4 m = 12 m 2
Surface Area: 9 m 2 + 12 m 2 + 12 m 2 + 12 m 2 + 12 m 2 = 57 m 2
4. Name of Shape: Rectangular Prism or, more specifically, a Cube
Area of Faces: 3 m × 3 m = 9 m 2
Surface Area: 9 m 2 + 9 m 2 + 9 m 2 + 9 m 2 + 9 m 2 = 45 m 2
5. Sofia and Ella are both writing expressions to calculate the surface area of a rectangular prism. However, they wrote different expressions.
a. Examine the expressions below, and determine if they represent the same value. Explain why or why not.
Sofia’s Expression:
(3 cm × 4 cm)+(3 cm × 4 cm)+(3 cm × 5 cm)+(3 cm × 5 cm)+(4 cm × 5 cm)+(4 cm × 5 cm)
Ella’s Expression:
2(3 cm × 4 cm)+2(3 cm × 5 cm)+2(4 cm × 5 cm)
Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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