Geometry_9.5 (day 1)_April 25
warm-up after 9.4:
Name the polyhedron. Find the number of faces, vertices, and edges of
polyhedron. Check your answer using Euler's Theorem.
Name _______________________
5
6
V: _____
9
E: _____
F: _____
Check:
5+6=9+2
11 = 11
Unit 9 Formulas
Bring a
calculator
everyday!
(P = Perimeter of the base)
(B = Area of the base)
(h = height of the prism)
1
Geometry_9.5 (day 1)_April 25
Section 9.5 - day 1
Learning Target: Apply formulas to
find the surface area of 3D solids.
Surface Area Prism
rectangles
= 2 • Base Area + lateral surface areas
2
Geometry_9.5 (day 1)_April 25
In 9.3,... What is this solid?
Find the
Surface Area.
Triangular Prism
________________________
+
Total S.A. =
No
w
270 2
units
Triangular Prism
Name the solid _________________________
Find the surface area.
Show all work!
1. Draw and label base.
2. Find base area.
3. Find lateral surface area.
(area of ALL rectangles)
rectangles
(HINT: draw ALL the _________________)
[
]
BA = ______
Lateral SA = _____
4. Find total surface area of a prism.
rectangles
SA = (2 • Base Area) + lateral SA
= ____________ + ______ = ________
3
Geometry_9.5 (day 1)_April 25
Find the surface area.
RC
Show all work!
Pentagonal Prism
Name the solid ______________________
Draw and label base.
2 bases
Total SA = ____________ + ______
560
Working backwards...
Given the surface area = 560 in2, find the value of x.
Draw and label base.
Find lateral SA.
(in terms of x)
15
8
Use SA formula for a prism to find value of x.
height
(Plug in known values)
SA = ( 2 • Base Area ) + lateral SA
4
Geometry_9.5 (day 1)_April 25
Assignment:
Section 9.5 Day 1
Worksheet
Show all work!
Prism Surface Area
rectangles
= 2 • Base Area + lateral surface areas
Geometry 9.5 Day 1 SA of Prism Worksheet ODDAnswers
1. Rectangular Prism
Total SA = 136
3. Triangular Prism
Total SA = 168
5. x = 5
5
Geometry
9.5 Surface Area of Prisms – Day 1
Name_______________________________Pd.___
Name the solid. Draw and label the base. Find the BA, lateral SA and total surface area. Show work.
(#2 & 4 have regular bases)
1. ____________________________________
2. ____________________________________
Draw and label base.
Find base area.
Draw and label base.
Find base area.
Find lateral surface area.
(Hint: draw ALL rectangles)
Find lateral surface area.
SA = 2 • BA + lateral SA
SA = ________ + _________ = ____________
3. ____________________________________
Draw and label base:
BA = ________
SA = _________ + _________ = ____________
4. ____________________________________
Draw and label base:
Lateral Areas = _________
SA = ____________
SA = ____________
Given the surface area, find the value of x. Show work!
5. Surface Area = 392
x = ____________
Find the surface area of the solid. (*hint* only the exposed surfaces!) Show work.
6.
SA = ____________
Extra Credit:
Name the solid. Draw and label the base (hint: find its height). Then find the surface area. Show work.
____________________________________
Draw and label base:
BA = ________
Lateral Areas = _________
SA = ____________