surface area of pyramids section 5.07. after completing this lesson, you will be able to say: i can...
TRANSCRIPT
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Surface Area of Pyramids
SECTION 5.07
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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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Pyramids
What Is a Pyramid?
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 + 163.48 cm2 + 134 cm2 = 427.48 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.