Transcript SA and V notes

K. Williams
 Square
 Cube
 Rectangle
 Rectangular
 Triangle
 Cone
 Circle
 Sphere
Prism
and Cylinders
Shapes: How are they named?

A shape is
named by the
number of
sides it has:
Prefix of polygon
MONO
DUO
(no such shape)
# of Sides
1
(no such shape)
2
TRI
3
QUADRA
4
PENTA
5
HEXA
6
HEPTA
7
OKTO
8
NONA
9
DEKA
10
Triangles



A three sided polygon who interior (inside) angles
when added together will equal 180º.
Naming triangles
 Triangles are named based on their types of angles
and their sides. Example, a triangle with two equal
sides and all acute angles is called an acute isosceles
triangle
Types of triangles
 Equilateral means that all of the sides are the same
 Isosceles means that 2 sides are the same
 Scalene means that none of the sides are the same
 Acute means that all of the angles are acute
 Obtuse means that one of the angles is an obtuse
angle
 Right means that one of the angles is a right angle
Angles
 Angles

Example 45 degrees is written as 45º
 Types





are measured in Degrees
of Angles
Acute angles are from 0 to 89 degrees (0º - 89º)
Right angles are exactly 90 degrees (90º)
Obtuse angles are from 91 to 179 degrees (91º 179º)
Straight angle is exactly 180 degrees (180º)
Reflex angles are from 181 to 359 degrees (181º 359º)

Dimensions—The measureable lengths of a shape
or object (length, height, and/or width). Ex. The
rectangle is 7cm x 3 cm or l x w
Base—the bottom face of a 3 dimensional object
 Face—The polygon that forms a side on a 3
dimensional shape
 Edge—The line segment created when 2 faces of
a 3 dimensional meet.
 Vertex (Vertices)—The corner point(s) of 3
dimensional shapes.
 Net—The pattern of attached polygons that can
be folded into 3 dimensional shapes.

Radius—A line segment from the center of a
circle to the edge of a circle. (1/2 the diameter)
 Diameter—A line segment that goes, through the
center of a circle, from one side of a circle to
another. (2 x radius)
 Perimeter—The measure of all sides of a shape
 Circumference—The perimeter of a circle
 Area—The amount of square units needed to
cover a shape (ex. The area of a square is A= l x w)
 Volume—The amount of space that can be filled
by a 3 dimensional object.
 Surface area—The area required to cover a 3
dimensional object

h = 5 cm
w= 3 cm
l = 7 cm
A
=lxw=B
V = B x h
Key for variables
A = area
l or b = length
w = width
h = height
B = base AREA
V = volume
 For

Rectangular/Cube objects
SA = 2lw + 2lh + 2wh

SA = 2 x 6 x 2 + 2 x 6 x 3 + 2 x 2 x 3
3 cm
2 cm
6 cm
 For

Cylinders
SA = 2r2 + 2rh

7cm
(SA = 2 x  x 2 x 2 + 2 x  x 2 x 7)
2 cm
K. Williams Room 205
Key for variables
SA = Surface Area
l = length
w = width
h = height
r = radius
r2 = r x r
 = 3.14

Sasha needs to wrap birthday presents for a set of twins.
She brought them the same gift, a Tongi Truck. The box
that the gift is in is 12 inches long, 5 inches wide, and 4
inches tall. (SA) She only has 48 square inches of wrapping
paper left. Will she be able to wrap both presents or will
she have to go purchase some more wrapping paper? Also,
the truck has a compartment that can hold smaller toys.
The dimensions of the compartment are 3 inches by 2
inches by 1.5 inches. (V) What is the capacity of each toy
truck?

Draw the shape below and label the parts before answering the
question. Remember to show all of your steps
K. Williams Room 205
How many edges, faces, and
vertices? What is the type of face?
NAME
CUBE
OCTAHEDRON
TETRAHEDRON
SHAPE
TYPE
OF
FACE
# OF
FACES
# OF
VERTICES
# OF
EDGES

Tasha needs to wrap birthday presents for a set of triplets.
She brought them the same gift, a Tongi Truck. The box
that the gift is in is 10 inches long, 7 inches wide, and 6
inches tall. (SA) She only has 1000 square inches of
wrapping paper left. Will she be able to wrap all of the
presents or will she have to go purchase some more
wrapping paper? Also, the truck has a compartment that
can hold smaller toys. The dimensions of the compartment
are 6 inches by 3 inches by 2.5 inches. (V) What is the
capacity of each toy truck?

Draw the shape below and label the parts before answering the
question. Remember to show all of your steps
K. Williams Room 205
Quiz #1 (part 1)
 Cathy
is wrapping two gifts (mini-rectangular
flower pots). One is 14 cm long, 18 cm wide
and 12 cm tall. The other gift is 20 cm in
length, 13 cm wide and has a height of 5 cm.
How much wrapping paper does she need to
wrap both gifts? What is the capacity of
each gift? Draw and label the dimensions of
each gift.
Quiz (Part 2):
What does it stand for?
 Write
the
correct
number next
to the prefix.
 Also, name the
four parts of a
3D shape.
Name of
polygon
PENTA
DEKA
TRI
HEPTA
QUADRA
HEXA
OKTO
DUO
NONA
MONO
# of Sides