Geom 04_12_16 sect 9_5 day 2
April 12, 2016
9.5 day 1 WS
SHOW ALL WORK!!
1. 600
2. 136
3. 18,771.2
4. 168
5. 4410
6. 5
7. 4100 (9 faces total)
warm-up:
What is the solid?
Find the surface area.
9.5 Day 2 Pyramid Surface Area
Learning Target: Apply formulas to
find the surface area of 3D solids.
Prism
Pyramid
how many bases?
shape of other faces?
Surface Area
Surface Area Pyramid
= Base Area + lateral surface area
triangles
Base Area + Lateral SA
1
Geom 04_12_16 sect 9_5 day 2
Now...
April 12, 2016
Find the surface area
of the square pyramid.
6
Find the slant height
of the pyramid.
Show all work!
8
1. Draw and label base.
Show all work!
2. find area of base
3. find slant height
4. find area of lateral faces
(All the ∆s)
5. find surface area ( Base Area + lateral surface area)
triangles
.
RC
Find the surface area.
Show all work!
Name the solid ______________________
2. find area of base
1. Draw and label base.
Partner A: Solves aloud.
3. find slant height
Partner B: Watches, listens, coaches/praises & initials.
Switch papers and switch roles.
4. find area of lateral faces
(All the ∆s)
5. find surface area ( Base Area + lateral surface area)
triangles
Find the surface area.
RC
Name the solid ______________________
Find the surface area.
l = 25
Show all work!
12
Show all work!
Name the solid ______________________
1. Draw and label base.
1. Draw and label base.
2. find area of base
2. find area of base
3. find slant height
3. find slant height
4. find area of lateral faces
4. find area of lateral faces
5. find surface area ( Base Area + lateral surface area)
5. find surface area ( Base Area + lateral surface area )
2
Geom 04_12_16 sect 9_5 day 2
Working backwards...
SA = 1536 in2
Given the surface area,
l
h
a) find the slant height of the square pyramid
b) find the height of the square pyramid
1. Label base.
April 12, 2016
24 in
2. find area of base
3. Find area of lateral faces (in terms of l).
4. Set up and solve an equation to find the value of l given the total
surface area (in terms of l).
(Base Area + lateral SA)
A = ___________
A = ___________
· Triangle:
A = ___________
· Triangle:
A = ___________
· Regular Polygon: ____________
A = ___________
· Circle:
Surface Area
· Prism:
SA = _____________
· Pyramid: SA = _____________
· Sphere:
SA = _____________
Volume
· Prism:
· Cylinder:
· Pyramid:
· Cone:
· Sphere:
Surface Area Pyramid
= Base Area + lateral surface area
5. Set up and solve an equation to find the value of h
Area
· Rectangle:
· Square:
Assignment:
Section 9.5 Day 2
Worksheet
Show all work!
triangles
Unit 9
Formulas
Bring a
calculator
everyday!
B: area of base
P: perimeter of base
h: height of prism/pyramid
*length of lateral edge
*distance between bases
l: slant height of pyramid
V = ______________
V = ______________
V = ______________
V = ______________
V = ______________
3