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# How do you calculate the exact amount of material used to create this tent? - PowerPoint PPT Presentation

How do you calculate the exact amount of material used to create this tent?. In this lesson you will learn how to find the surface area of a triangular prism by analyzing the prism’s faces, and computing their areas.

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Presentation Transcript

In this lesson you create this tent?will learn how to find the surface area of a triangular prism by analyzing the prism’s faces, and computing their areas.

We find the area of a triangle by multiplying its base by its height, and then cutting that product in half.

Rec. Area = (4 x 6)

= 24 in2

height

6 in

Tri. Area = (4 x 6) / 2

= 12 in2

base

4 in

6 cm

6 cm

2 cm

6 cm

7 cm

10 cm

10 cm

2 cm

10 cm

2 cm

Tri Prism SA = 2 solid.(tri.) + (sm. rec.) + 2 (lg. rec.)

= 2 ( ) + (L • W) + 2 (L • W)

= 2 ( ) + ( ) + 2 ( )

10 • 2

10 • 7

= 2 (6) + (20)+ 2 (70)

= 12 + 20 + 140

6 cm

This triangular prism has a surface area of 172 square centimeters (or 172 cm2).

7 cm

10 cm

2 cm

In this lesson you solid.have learned how to find the surface area of a triangular prism by analyzing the prism’s faces, and computing their areas.

Find the surface area of this triangular prism. (All of the triangle’s sides are congruent.)

Tri Prism SA = 2 (tri.) + 3 (rec.)

This triangular prismhas a surface area of 102 square feet.

= 2 ( ) + 3 (L • W)

= 30 + 3 (24)

5 ft

= 2 ( ) + 3 (4 • 6)

= 30 + 3 (72)

4 ft

6 ft

?

=

+

What is the surface area of this triangular prism? prisms. She then hypothesized that the cube’s surface area must be

5 ft

3 ft

2 ft

4 ft

What is the surface area of this prism, with an equilateral triangle base?

2.6 yd

3 yd

4 yd