Math 6 - Surface Area of Space Figures.ppsx

Surface Area of Space Figure - Cube, Sphere, Rectangular Prism, Cylinder, Cone

2. Learning Target:
b. Find the surface area of cube,
prism, pyramid, cylinder, cone,
and sphere.
a. Derive a formula for finding the
surface area of cube, prism, pyramid,
cylinder, cone and sphere; and

3. How do I find
out how much
gift-wrap I need
to buy for this
box?
You need to get
the surface area
of the box.

4. is the total area of
the surface of a three-
dimensional object.

5. Ana wraps her gift for Elsa. The
measure of the edge of the cube is 10
inches. She does not have extra
paper, so she does not overlap any of
the edges. How much paper was used
to cover Ana’s gift?Formula:
Cube
SA =
6s
2=
6
x10
in
2
= 6 x 100
in
2
= 600 in
2

6. Compute the SURFACE AREA
of a CUBE.
SA = 6s
2
SA = 216
cm
2
SA = 384
cm
2

7. A Christmas ball has a radius of 11
cm. If its surface area is to be
filled up with glitters, how much
area will be covered with glitters?
Formula:
Sphere
SA = 4ꙥr
2
= 4ꙥx11 cm
2
= 4ꙥx 121 cm
2
= 1519.76 cm
2
= 4x 3.14x 121 cm
2

8. Compute the SURFACE AREA of
a SPHERE.
SA = 4ꙥr
2
SA = 452.16
cm
2
SA = 803.84
cm
2

9. Mark has a pool filled with water. The
pool is 10 m long, 8 m wide, and 4 m
deep. Find the surface area of the
pool.
Formula:
Rectangular
Prism
SA = 2LW + 2LH +
2WH= 2(10 x 8) + 2(10 x 4) +
2 (8 x 4)
= 2 (80) + 2 (40) + 2
(32)
= 304 m
2
= 160 + 80 + 64

10. Compute the SURFACE AREA of a
RECTANGULAR PRISM.SA = 2LW + 2LH +
2WH
SA = 150
cm
2
SA = 170
cm
2

11. Our cylindrical tank has a radius
of 5 ftand height of 10 ft. How
much paint is needed to paint its
surface?
Formula:
Cylinder
SA = 2ꙥr
2
+
2ꙥrh
= 2(3.14 x 5
2
) + 2(3.14 x 5 x
10)
= 2(3.14 x 25) + 2(3.14 x 50)
= 2(78.5) + 2(157)
= 157 + 314
= 471 ft
2

12. Compute the SURFACE AREA of a
Cylinder.
SA = 2ꙥr
2
+ 2ꙥrh
SA = 94.2
cm
2
SA = 301.44
m
2

13. A cone has a radius of 3 cm,
height of 4 cm and the slant
measures 5 cm. Find the total
surface area of the cone.
Formula:
Cone
SA = ꙥr
2
+ ꙥrs
= 3.14 x 3
2
+ 3.14 x 3x 5
= 3.14 x 9+ 3.14 x 15)
= 28.26+ 47.1
= 75.36 cm
2

14. Compute the SURFACE AREA of a CONE.
SA = ꙥr
2
+ ꙥrs
SA = 136.8
cm
2
SA = 50.24
m
2
10
cm
8
m