Learning Target:
I can…
Find the surface area of rectangular prisms
Review Area Formulas
Rectangle:
b∙h
Triangle:
½b∙h
Circle:
pi ∙ r²
Trapezoid:
½ h∙ (b + b )
1
2
3 – Dimensional Shapes
2 bases:
prism, named by the shape of its bases
all other shapes are rectangles
1 base:
pyramid, named by the shape of its base
all other shapes are triangles
Solids
In the figure below, describe the base, name the figure,
and name the part labeled CD.
The base is a rectangle.
The figure is a rectangular pyramid.
CD is a base edge.
A. Pentagonal pyramid
B. Rectangular prism
C. Pentagonal prism
D. Prism
You try!
Surface Area
The outside area of a 3-D figure
1. Find the area of each face
2. Add them together
Rectangular Prisms
Front _______
Back________
7
Side ________
Side ________
4
20
Top ________
Bottom_______
Total Surface Area: _________
You try
Front _______
Back________
Side ________
15
Side ________
Top ________
Bottom_______
3
5
Total Surface Area: _________
You try
Front _______
11
21
Back________
Side ________
Side ________
7
Top ________
Bottom_______
Total Surface Area: _________
Review
Kevin wants to paint the walls and ceiling of
room. His room is 11 feet long, 12 feet
wide and 8 feet high. How many square
feet will he cover?
One gallon of paint will cover 200 ft² of
surface area. How many gallons of paint
does Kevin need to buy to paint his room?
Alisha wants to paint the walls of her bedroom.
Her room is 18 feet long, 14 feet wide, and 10
feet high. The paint she decides to buy will
cover 100 square feet. How many gallons will
she need?
EXIT QUESTION
John wants to paint the walls of his kitchen.
The kitchen is 10 feet long, 12 feet wide,
and 11 feet tall.
How many square feet will his paint need to
cover?
Learning Target:
I can…
Find the surface area of cylinders
Surface Area Formulas
SA = Area of t + b
+s+s+f+b
SA =
Cylinders
Top ________
Bottom_______
Cylinders
7
Top ________
Bottom_______
15
Middle
Section_______
Cylinders
Top ________
12
Bottom_______
Middle
Section_______
20
What is the surface area of this
soup can?
A. 516.6cm²
B. 527.5cm²
C. 153.9cm²
D. 296.7cm²
For small paving jobs, a contractor uses a
roller pushed by a worker.
EXIT: What is the surface area
of the can?
Learning Target:
I can…
Find the volume of a prism and cylinder
Volume
The space a 3-D object occupies
Volume of a Prism
V = l ∙ w ∙h
6
7
9
Cylinder
Use for formula
Find the volume – round to the
nearest tenth
Find the volume – round to the
nearest tenth
EXIT
A snack bar is offering two types of drinks.
The first drink, “The Barrel” is cylindrical in
shape with a diameter of 3 inches and a
height of 10 inches. The second drink,
“The Boxer,” is rectangular in shape with a
square bottom of 3 inches per side and a
height of 8 inches. If both drinks cost
$1.99, which one is a better value? Why?
EXIT
Find the volume of the cylinder
Learning Target:
I can…
calculate surface area and volume
The cube shown below has a
surface area of 150 square
inches.
What is the length of each side of
the cube?
The cube shown below has a
surface area of 600 square
inches.
What is the length of each side of
the cube?
EXIT
For small paving jobs, a contractor uses a
roller pushed by a worker.
Find the volume of a cylindrical
cake that is 5 in. tall with a diameter
of 15 in. Give your answer to the
nearest whole unit.
884 in.³
Surface Area and Volume
Problem of
the Day
(Thursday)
Discuss your reflections from
yesterday
Volume
1.
2.
3.
4.
5.
Surface Area
Learning Target:
I can…determine the scale factor for a
change in dimensions
CHANGING DIMENSIONS:
Changing the length, width, height, or radius
SCALE FACTOR:
The number multiplied by the original
figure/amount to get the new
figure/amount
EXAMPLE:
6
4
By what scale factor
will the area of the
triangle increase if the
base is doubled and
the height is tripled?
If the length of the side of a square
is doubled, what would happen
to its perimeter?
a. It doubles
b. It triples
c. It quadruples
d. It gets smaller
If the length of the side of a square is
doubled, what would happen to its
area?
a. It doubles
b. It triples
c. It quadruples
d. Nothing happens
If the length of the radius of a square is
doubled, what would happen to its
area?
a. It doubles
b. It triples
c. It quadruples
d. Nothing happens
When one dimension is changed…
If you double the height of the prism
What happens to the following:
1. Surface area?
2. Volume?
5
3
2
The surface area of a cube is
150 square inches.
If you double the length
of each side what is
the new surface area?
By what scale factor will the
surface area by reduced if the
length of each side is reduced
by half?
Cylinders
Remember: V =
4
15
A. New surface area? (Round to nearest
tenth)
B. New volume?
The Graf company produces cylindrical
barrels.
If the height of a barrel is reduced from 21
feet to 7 feet, what will happens to the
volume of the barrel?
A. The volume triples.
B. The volume doubles.
C. The volume is reduced to one half of the
original.
D. The volume is reduced to one third of the
original.