Name ________________
6.1 Perimeter of composite figures
Vocabulary:
PerimeterRectangle
Square
Triangle
Parallelogram
Trapezoid
Circle
𝑷 = 𝒂𝒅𝒅 𝒂𝒍𝒍 𝒔𝒊𝒅𝒆𝒔;
𝑷 = 𝒂𝒅𝒅 𝒂𝒍𝒍 𝒔𝒊𝒅𝒆𝒔;
𝑷 = 𝒂𝒅𝒅 𝒂𝒍𝒍 𝒔𝒊𝒅𝒆𝒔
𝑷 = 𝒂𝒅𝒅 𝒂𝒍𝒍 𝒔𝒊𝒅𝒆𝒔
𝑷 = 𝒂𝒅𝒅 𝒂𝒍𝒍 𝒔𝒊𝒅𝒆𝒔
𝑷 = 𝟐𝒍 + 𝟐𝒘
𝑷 = 𝟒𝒔
𝑪 = 𝟐𝝅𝒓
𝑪 = 𝝅𝒅
Composite figure
Examples:
1.
2.
5m
3.
4.
4m
8m
Name ________________
6.2 Area of composite figures
Vocabulary:
Area -
Rectangle
Square
Triangle
𝑨 = 𝒍𝒘
𝑨 = 𝒔𝟐
𝑨 = 𝟐 𝒃𝒉
Parallelogram
𝟏
𝑨 = 𝒃𝒉
To find the area of a composite figure:
1)
2)
Examples:
1.
2.
Trapezoid
𝑨=
𝟏
𝒉(𝒃𝟏 + 𝒃𝟐 )
𝟐
Circle
𝑨 = 𝝅𝒓𝟐
6.3 Three-dimensional Figures. Front, top, side views.
Name ________________
Vocabulary:
Solids Prism -
Pyramid -
Prisms and pyramids are named by the shape of their bases.
________________________
Shape of the base
____________________
prism (2 parallel bases) OR pyramid
Examples:
Identify the solid.
________________________
________________________
A three-dimensional object can be represented as a two-dimensional model with views of the object from
different perspectives: front, side, and top views.
6.4 Volume of Prisms, Cylinders, Pyramids, or Cones
Name ________________
Vocabulary:
Volume -
VOLUME of a PRISM or CYLINDER = B · H
B
H
Examples:
1. Rectangular Prism
2. Triangular Prism
VOLUME of a PYRAMID or CONE =
𝟏
𝟑
3. Cylinder
·B·H
B
H
4.
5.
6.5 Surface area of Prisms, Cylinders, Pyramids, or Cones
Name ________________
Vocabulary:
Surface Area (SA)
B
P
1. Rectangular prism:
2. Triangular Prism:
𝑺𝑨 = 𝟐𝒍𝒘 + 𝟐𝒍𝒉 + 𝟐𝒘𝒉
𝑺𝑨 = 𝟐𝑩 + 𝒑𝒉
3. Cylinder: 𝑺𝑨 = 𝟐𝝅𝒓𝟐 + 𝟐𝝅𝒓𝒉
4. Pyramid: 𝑺𝑨 =
𝟏
𝟐
5. Cone: 𝑺𝑨 = 𝝅𝒓𝟐 + 𝝅𝒓𝒍
𝒍𝒑 + 𝑩
Only in Pyramid and Cone formulas!
l
6.6 The effect of changing l, w, or h on Volume or Surface Area in a rectangular prism
How does the volume of a rectangular prism change when one of the attributes is increased?
When you increase or decrease the length, width or height of a prism by a factor,
the volume of the prism is also increased (decreased) by that factor.
1. The length of the first rectangular prism was multiplied by 8 to create the second rectangular prism. The
volume of the first rectangular prism is 2 in³. Find the volume of the second rectangular prism.
2. The original width of a box was 5 in. Its volume was 40 cm³. If the width will become 15 in, but all other
dimensions will stay the same, what will be the new volume?
3. Doubling the length of a prism will ________________ its volume.
How does the SA of a rectangular prism change when one of the attributes is increased?