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**Surface Area of Pyramids**

SECTION 5.07

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**I can use nets to find the surface area of three-dimensional figures.**

After completing this lesson, you will be able to say: I can represent three-dimensional figures using nets made of rectangles and triangles. I can use nets to find the surface area of three-dimensional figures. I can use nets to solve problems about surface area.

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**What Is a Pyramid? Pyramids Pyramid:**

A polyhedron that contains one base with three or more faces that meet at a point.

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**Types of Pyramids Rectangular Pyramid base is a rectangle.**

There are 4 triangular faces connected at the top point to form the pyramid. Opposite triangular faces are congruent.

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**Types of Pyramids Square Pyramid base is a square.**

There are 4 triangular faces connected at the top point to form the pyramid. The four triangular faces are congruent.

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**Types of Pyramids Triangular Pyramid base is a triangle.**

There are 3 triangular faces connected at the top point to form the pyramid. If any of the sides of the triangle base are congruent, then the faces attached to those sides will be congruent to each other.

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**Types of Pyramids Pentagonal Pyramid base is a pentagon.**

There are 5 triangular faces connected at the top point to form the pyramid.

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**Types of Pyramids Hexagonal Pyramid base is a hexagon.**

There are 6 triangular faces connected at the top point to form the pyramid.

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**Surface Area of Pyramids**

We can use the nets of Pyramids to find the surface area. Now, let's calculate the area of the square base. Area of the square base: 8 in × 8 in = 64 in2 The last part in the calculation is to just determine the sum of all the faces. Total surface area of the pyramid: 176 in2 + 64 in2 = 240 in2

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Try it Can you find the surface area of this pyramid?

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**Check your work Total surface area:**

130 cm2 cm2 + 134 cm2 = cm2

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**Now that you completed this lesson, you should be able to say:**

I can represent three-dimensional figures using nets made of rectangles and triangles. I can use nets to find the surface area of three-dimensional figures. I can use nets to solve problems about surface area.

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