Lateral and Total Surface Area

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Presentation transcript:

Lateral and Total Surface Area 10.3 Lateral and Total Surface Area How do you find the lateral and total surface area of rectangular and triangular prisms?

Vocabulary Net- A pattern that you can cut and fold to make a 3-D solid.

Vocabulary Lateral Surface Area- Area of the lateral surfaces of a 3-D figure (does not include the bases) Total Surface Area- Area of all the surfaces of a 3-D figure including the bases

Lateral Surface Area- 60 cm2 Total Surface Area- 72 cm2 Example 1 Find the lateral and total surface area of the rectangular prism.

Example 2 Find the lateral and total surface area of the figure below.

Your Turn Find the lateral and total surface area of the figure below. lateral area: 48 cm 2 total area: 60 cm 2

Summary

ADDITIONAL EXAMPLE 1 A net of a rectangular prism is shown. Use the net to find the lateral area and the total surface area of the prism. Each square represents one square foot. The blue regions are the bases, and the green regions are the lateral faces. 32 ft2; 62 ft2

Lateral and Total Surface Area 10.3 Lateral and Total Surface Area How do you find the lateral and total surface area of rectangular and triangular pyramids?

Example 1 Use the net of the rectangular pyramid to find the lateral area and the total surface area of the pyramid. 168 m2; 228 m2

Lateral area: 11.7 f t 2 Total surface area: 15.6 f t 2 Example 2

Your Turn Find the Total Surface Area of the figure below.

Summary