Name: ________________________
Period: _____ Date:________________
10.5 Surface Area of Pyramids and Cones Homework
1 Find the lateral area and surface area of a regular
triangular pyramid with base edge length 3 m and
slant height 7 m.
1)
2)
3)
4)
2 Find the lateral area and surface area of a regular
triangular pyramid with base edge length 4 m and
slant height 6 m.
lateral area: 40.5 m2 ;
surface area: 31.5 m2
lateral area: 21 m2 ;
surface area: 40.5 m2
lateral area: 40.5 m2 ;
surface area: 21 m2
lateral area: 31.5 m2 ;
surface area: 40.5 m2
1)
2)
3)
4)
1
lateral area: 52 m2 ;
surface area: 24 m2
lateral area: 24 m2 ;
surface area: 52 m2
lateral area: 36 m2 ;
surface area: 52 m2
lateral area: 52 m2 ;
surface area: 36 m2
Name: ________________________
Period: _____ Date:________________
3 Find the lateral area and surface area of a right
cone with radius 5 in. and height 12 in. Give your
answers in terms of  .
1)
2)
3)
4)
4 Find the lateral area and surface area of a right
cone with radius 3 in. and height 4 in. Give your
answers in terms of  .
lateral area: 25 in 2 ;
surface area: 90 in 2
lateral area: 65 in 2 ;
surface area: 75 in 2
lateral area: 65 in 2 ;
surface area: 90 in 2
lateral area: 90 in 2 ;
surface area: 65 in 2
1)
2)
3)
4)
2
lateral area: 15 in 2 ;
surface area: 24 in 2
lateral area: 24 in 2 ;
surface area: 15 in 2
lateral area: 15 in 2 ;
surface area: 21 in 2
lateral area: 9 in 2 ;
surface area: 24 in 2