Download 10.1 Surface Areas of Prisms and Cylinders

10.1 Surface Areas of Prisms and Cylinders
1. The amount of material used to cover a
container is described by the SURFACE AREA (SA).
2. The amount of fluid that a container will
hold is described by its VOLUME.
The total area of the lateral faces of a prism
or cylinder is described by its LATERAL AREA (LA).
This is calculated by finding the SUM of the
AREA of the NUMBER of LATERAL faces.
LA = PERIMETER x HEIGHT
Perimeter (circumference)
of the base
Height between 2
bases
5. The surface area of a figure is
calculated by adding the LATERAL AREA
and twice the area of a BASE.
SA = L.A. + 2B
Lateral Area
of the prism
or Cylinder
2 x Base area
(Since there's
2 bases)
Find the Lateral Area of the figure below:
LA = PERIMETER x HEIGHT
8mm
4mm
3mm
8. Find the
A: Find the Lateral Area (LA).
3cm
11cm
8. Find the
B: Find the area of the Base (B)
3cm
11cm
8. Find the
C: Find the Surface area (SA) of the cylinder.
3cm
11cm
9. Find the Lateral Area (LA) of the figure below.
A: Find the lateral area (LA).
B: Find the area of the Base (B) in the figure.
C. Find the surface area (SA).
11. A: Find the lateral area (LA).
11. B: Find the area of the Base (B)
in the figure.
C: Find the surface area (SA).
12. A right hexagonal prism has a base area
of 84mm2, a base perimeter of 36mm, and a
height of 32mm.
A: Find the lateral area (LA).
B: Find the surface area (SA).