The document defines surface area as the sum of the areas of the outer surfaces of a solid object. It provides formulas to calculate the surface area of various shapes including cubes, rectangular prisms, right square pyramids, right circular cylinders, right circular cones, and spheres. Examples are given showing how to use the formulas to find the surface area given specific measurements of each shape.

1. SURFACE
AREA

2. SURFACE AREA
| defined as the sum of the areas
of the outer surfaces of a solid.
These outer surfaces are called
faces.

3. SURFACE AREA
| sum of the lateral faces and the
bases
facelateraltheofABasetheofASA

4. Surface Area
of a Cube

5. | The surface area (SA) of a cube of
side s is given by
2
6sSA

6. Example 1
| Find the surface area of a cube
with a side of length 5 cm..

7. Example 2
| If the surface area of a cube is 216
cm2, determine the measurement of
the side of the cube.

8. Surface area
of a
RECTANGULAR
PRISM

9. | The SA of a rectangular prism of
length l, width w, and height h is given
by
hlhwlwSA 222

10. Example 1
| Find the surface area of a rectangular
prism whose length is 7 cm, width is 4
cm, and height is 5 cm.

11. Surface area
of a RIGHT
SQUARE
PYRAMID

12. | The SA of a right square pyramid w/
base of side s and slant height l is given
by
2
42 ls
sSA

13. Example 1
| Find the SA of a right square pyramid
w/ base of side 3cm and slant height
of 5 cm.

14. Surface area
of a RIGHT
CIRCULAR
CYLINDER

15. | The SA of a right circular cylinder of
radius r and height h is given by
OR
rhrSA 22 2
hrrSA 2

16. Example 1
| Find the SA of a right circular
cylinder which has a height of 20cm
and a base radius of 5cm.

17. Surface area
of a RIGHT
CIRCULAR
CONE

18. | The SA of a right circular cone of
radius r and slant height l is given by
rlrSA 2

19. Example 1
| Find the SA of a right circular cone if
the radius of its base is 3.5 cm and its
slant height is 7.25 cm.

20. Surface area
of a SPHERE

21. | The SA of sphere of radius r is given
by
2
4 rSA

22. Example 1
| What is the surface area of a ball
with a radius of 6 cm?