Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
6. Surface Areas of Pyramids
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Exercise 3 Page 321

Use a net to find the surface area of the triangular pyramid.

10.7 square centimeters

Practice makes perfect

We want to calculate the surface area of a triangular pyramid. Let's see the given measurements of the pyramid.

We can use a net to calculate the surface area of the pyramid. Let's see the net!

The net is made up of four triangles. Let's calculate the area of each triangle separately, starting with the base.

A=1/2 b* h
A=1/2* 2* 1.7
A=1.7

The area of the base is 1.7 square centimeters. Now let's take a look at the sides. Notice that the sides of the pyramid are congruent triangles. This means that they have the same area. Let's find the area of one of them.

A=1/2b* h
A=1/2* 2* 3
A=3

We found that the area of one side triangle is 3 square centimeters. Since the triangles are congruent, the area of each of the side triangles is 3 square centimeters. Now we have all the information that we need to find the total surface area of the triangular pyramid! Total Surface Area 1.7+ 3+ 3+ 3=10.7cm^2 The total surface area of the triangular pyramid is 10.7 square centimeters.