K. Williams

Square Rectangle Triangle Circle

Cube Rectangular Prism Cone Sphere and Cylinders

Shapes: How are they named?

A shape is named by the number of sides it has:

Prefix of polygon

# of Sides

MONO (no such shape)

1

DUO (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 are measured in Degrees

Example 45 degrees is written as 45º Types 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

A = l x w = B V = B x h

Key for variablesA = areal or b = lengthw = widthh = heightB = base AREAV = volume

l = 7 cm

h = 5 cm

w= 3 cm

For Rectangular/Cube objectsSA = 2lw + 2lh + 2wh

SA = 2 x 6 x 2 + 2 x 6 x 3 + 2 x 2 x 3

For CylindersSA = 2r2 + 2rh

(SA = 2 x x 2 x 2 + 2 x x 2 x 7)

Key for variablesSA = Surface Areal = lengthw = widthh = heightr = radiusr2 = r x r = 3.14

3 cm

6 cm2 cm

7cm2 cm

K. Williams Room 205

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?

NAMESHAP

E

TYPE OF

FACE

# OF FACE

S

# OF VERTIC

ES

# OF EDGE

S

CUBE

OCTAHEDRON

TETRAHEDRON

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

# of Sides

PENTA

DEKA

TRI

HEPTA

QUADRA

HEXA

OKTO

DUO

NONA

MONO