12.2 Notes
Reminders from last chapter:
Polygon
Date: ____________________________
Area Formula
Polygon
Triangle
Square
Equilateral triangle
Regular polygon
Perimeter
Surface Areas of Pyramids
Pyramid
Regular Pyramid
Height
Slant Height
Lateral Area of a Pyramid
Surface Area of a Pyramid
Area Formula
How to find height or slant height:
1. Draw the _________________________________ involved.
2. Label the known parts of the ______________________________________.
3. Solve for _______________________________ part of triangle. Possible methods include:
How to find the area of a base, if base is a regular polygon:
1. Draw the _________________________________ of the pyramid.
2. Label the known parts of the ______________________________________.
3. Solve for _______________________________ parts of the polygon base. Possible methods include:
4. Using the formula, _______________________________, find the area of the polygon base.
Practice
1. Given the pyramid has a square base with edges measuring 10 and the lateral edge of 13. Find the following:
a. Slant height =
b. Area of each lateral face of the pyramid =
c. Pyramid’s lateral area =
d. Pyramid’s base area =
e. Pyramid’s total surface area =
Name: _______________________________________________
Period: ___________
Date: ______________
Group Members: ____________________________________________________________________________________
12.2 Worksheet
# 1 – 9 Given the regular square pyramid have each set of measurements where H is height of the pyramid, L is the slant
height, and b is the side of the square base.
1. b = 10 ft, L = 28.7 ft
a. Find the lateral area. (Round to the nearest tenth.)
b. Find the surface area. (Round to the nearest tenth.)
2. b = 8 mm, L = 12.3 mm
a. Find the lateral area. (Round to the nearest tenth.)
b. Find the surface area. (Round to the nearest tenth.)
3. b = 2.2 in, L = 3. 1 in
a. Find the lateral area. (Round to the nearest tenth.)
b. Find the surface area. (Round to the nearest tenth.)
4. b = 10 in, H = 12 in
a. Find L, the slant height.
b. Find the lateral area.
c. Find the surface area.
5. b = 16 cm, H = 6 cm
a. Find L, the slant height.
b. Find the lateral area.
c. Find the surface area.
6. b = 48 mm, H = 7 mm
a. Find L, the slant height.
b. Find the lateral area.
c. Find the surface area.
7. b = 29 ft, H = 21 ft
a. Find L, the slant height.
b. Find the lateral area.
c. Find the surface area.
8. b = 17 m, h = 8 m
a. Find L, the slant height.
b. Find the lateral area.
c. Find the surface area.
9. b = 26 , h = 12
a. Find L, the slant height.
b. Find the lateral area.
c. Find the surface area.
10. Given the regular triangular prism to the right:
a. Find the slant height.
b. Find the lateral area.
a. Find the surface area.