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Questions and Answers
What is the shape of the base of a triangular pyramid?
What is the shape of the base of a triangular pyramid?
- Pentagon
- Triangle (correct)
- Hexagon
- Square
How is the surface area of a pyramid calculated?
How is the surface area of a pyramid calculated?
- By finding the product of the area of the base and the height
- By finding the difference between the area of the base and the height
- By finding the sum of the areas of each of the polyhedron's curved faces
- By finding the sum of the areas of each of the polyhedron's flat faces (correct)
What is a characteristic of the triangular lateral sides of a regular pyramid?
What is a characteristic of the triangular lateral sides of a regular pyramid?
- They are all congruent (correct)
- They are all different sizes
- They are all isosceles triangles
- They are all right triangles
What is the shape of the lateral sides of a pyramid?
What is the shape of the lateral sides of a pyramid?
What is the unit of measurement for the surface area of a pyramid?
What is the unit of measurement for the surface area of a pyramid?
What is the base area 'B' in the formula for the surface area of a pyramid?
What is the base area 'B' in the formula for the surface area of a pyramid?
What is the lateral area of a pyramid?
What is the lateral area of a pyramid?
In a pyramid, what is 'l' in the formula for the surface area?
In a pyramid, what is 'l' in the formula for the surface area?
What is the formula for the lateral area of a pyramid?
What is the formula for the lateral area of a pyramid?
What is the name of a pyramid with a hexagonal base?
What is the name of a pyramid with a hexagonal base?
What is the shape of the lateral sides of a regular pyramid?
What is the shape of the lateral sides of a regular pyramid?
What is the surface area of a pyramid?
What is the surface area of a pyramid?
What is the number of lateral sides of a regular pentagonal pyramid?
What is the number of lateral sides of a regular pentagonal pyramid?
What is the purpose of a net in finding the surface area of a pyramid?
What is the purpose of a net in finding the surface area of a pyramid?
What is the perimeter of the base of a pyramid with a square base with sides of length 5 cm?
What is the perimeter of the base of a pyramid with a square base with sides of length 5 cm?
What is the area of each lateral side of a pyramid with a square base of side length 5 cm and a slant length of 6 cm?
What is the area of each lateral side of a pyramid with a square base of side length 5 cm and a slant length of 6 cm?
What is the total surface area of a pyramid with a base area of 27.53 square cm, a base side length of 4 cm, and a slant length of 5 cm?
What is the total surface area of a pyramid with a base area of 27.53 square cm, a base side length of 4 cm, and a slant length of 5 cm?
What is the lateral area of a pyramid with a base perimeter of 14 cm and a slant length of 5 cm?
What is the lateral area of a pyramid with a base perimeter of 14 cm and a slant length of 5 cm?
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Study Notes
Pyramid Definition
- A pyramid is a three-dimensional solid with a flat polygon base and triangular lateral sides that come to a point.
Types of Pyramids
- Triangular pyramid: base is a triangle
- Square pyramid: base is a square
- Pentagonal pyramid: base is a pentagon
- Hexagonal pyramid: base is a hexagon
- Octagonal pyramid: base is an octagon
Surface Area of a Pyramid
- Surface area is the sum of the areas of each face of the pyramid
- Formula: SA = B + (1/2)P*l
- Where SA is the total surface area, B is the base area, P is the perimeter of the base, and l is the slant length of the pyramid's triangular lateral sides
Finding the Surface Area of a Pyramid
- Find the area of the base (B)
- Find the lateral area (1/2)P*l
- Add the base area and lateral area to find the total surface area (SA)
Examples of Surface Area of a Pyramid
- Regular triangular pyramid: SA = B + (1/2)P*l
- Regular pentagonal pyramid: SA = B + (1/2)P*l
- Regular hexagonal pyramid: SA = B + (1/2)P*l
- Rectangular pyramid: SA = B + (1/2)P*l
Pyramid Definition
- A pyramid is a three-dimensional solid with a flat polygon base and triangular lateral sides that come to a point.
Types of Pyramids
- Triangular pyramid: base is a triangle
- Square pyramid: base is a square
- Pentagonal pyramid: base is a pentagon
- Hexagonal pyramid: base is a hexagon
- Octagonal pyramid: base is an octagon
Surface Area of a Pyramid
- Surface area is the sum of the areas of each face of the pyramid
- Formula: SA = B + (1/2)P*l
- Where SA is the total surface area, B is the base area, P is the perimeter of the base, and l is the slant length of the pyramid's triangular lateral sides
Finding the Surface Area of a Pyramid
- Find the area of the base (B)
- Find the lateral area (1/2)P*l
- Add the base area and lateral area to find the total surface area (SA)
Examples of Surface Area of a Pyramid
- Regular triangular pyramid: SA = B + (1/2)P*l
- Regular pentagonal pyramid: SA = B + (1/2)P*l
- Regular hexagonal pyramid: SA = B + (1/2)P*l
- Rectangular pyramid: SA = B + (1/2)P*l
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