How do you calculate the exact amount of material used to create this tent?
This presentation is the property of its rightful owner.
Sponsored Links
1 / 11

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


  • 75 Views
  • Uploaded on
  • Presentation posted in: General

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.

Download Presentation

How do you calculate the exact amount of material used to create this tent?

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


How do you calculate the exact amount of material used to create this tent

How do you calculate the exact amount of material used to create this tent?


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.


How do you calculate the exact amount of material used to create this tent

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


How do you calculate the exact amount of material used to create this tent

Surface area is the sum of the areas of the faces on a 3D solid.


How do you calculate the exact amount of material used to create this tent

What is the surface area of this triangular prism?

6 cm

6 cm

2 cm

6 cm

7 cm

10 cm

10 cm

2 cm

10 cm

2 cm


How do you calculate the exact amount of material used to create this tent

Tri Prism SA = 2 (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


How do you calculate the exact amount of material used to create this tent

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


How do you calculate the exact amount of material used to create this tent

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


How do you calculate the exact amount of material used to create this tent

  • This tent, which has a height of 4.5 feet, is designed to comfortably fit three campers.

  • Make an estimate about the size of an average sleeping bag. Use that estimate to determine the approximate surface area of the tent. Compare your answer with that of others in your class.


How do you calculate the exact amount of material used to create this tent

  • Gina noticed every cube is made of two congruent triangular prisms. She then hypothesized that the cube’s surface area must be twice the surface area of one of the triangular prisms.

  • Is she correct? Explain your answer.

?

=

+


How do you calculate the exact amount of material used to create this tent

What is the surface area of this triangular prism?

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


  • Login