Find the perimeter and area of each figure.
1.
2.
3. Find the lateral area of a prism with a square base that is 3 cm on each side and is 7 cm tall.
16 m
11 m
16 m
16 m
11 m
5 m
The lateral area (LA) of a pyramid is equal to half the perimeter (P) of the base times
the slant height (l) of the pyramid.
LA = Pl2
1
The surface area of a pyramid is equal to the sum of the lateral area (LA) and
the area of the base (B).
SA = LA + B
SA = Pl + B2
1
Find the surface area of theregular pentagonal pyramid given the base area is 139 cm2.
Find the perimeter of the base. 9(5) = 45 Locate the slant height. l = 12 Use the pyramid surface area formula. SA = Pl + B Substitute known values. SA = (45)(12) + 139 Multiply, then add. SA = 270 + 139 = 409 The surface area is 409 square centimeters.
2
12
1
Find the surface area of the square pyramid.
Find the perimeter of the base. 10.3(4) = 41.2 Find the area of base. 10.3(10.3) = 106.09 Locate the slant height. l = 8 Use the surface area formula for a pyramid.
SA = Pl + B Substitute. SA = (41.2)(8) + 106.09 Multiply, then add. SA = 164.8 + 106.09 = 270.89
The surface area is 270.89 square inches.
2
12
1
1. Find the lateral area of a regular hexagonal pyramid. Each side of the base is 4 yards and the slant height is 3 yards.
2. Find the surface area of the pyramid.