Circles
Composite Shapes
Surface Area
Volume
Formulas
100
When do you use each formula for circumference:
C=pid
C=2pir
Use pi x d when given diameter
Use 2 x pi x r when given radius
100
What are the steps of finding the area of a composite shape?
1. Find the areas of all of the shapes
2. Add
100
What are the steps of finding the surface area of a net?
1. Find all the areas
2. Add them all up
100
How do you find the height for the prism volume formula?
Height is the distance between bases
100
What does 1/2 mean?
Divide by 2
200
What does
r^2
mean?
radius times radius
(radius times itself)
200
What shapes is this composite shape made up of?
A rectangle and a semicircle
200
What is the difference between lateral and total surface area?
Lateral does NOT include bases. Total includes ALL faces including bases.
200
What is the volume of the rectangular prism?
200 units^3
200
How do you find the volume of a prism?
Area of base x height
300
Find the circumference of the circle.
If you use 3.14 as pi: 37.648 m
If you use 3 as pi: 36 m
300
What is the area of the composite shape?
Rectangle area-
160 ft^2
Semi circle area-
25.12 ft^2
Composite shape total area-
185 ft^2
300
What is the lateral surface area of the rectangular pyramid?
105 i n ^2
300
What is the volume of the triangular prism?
1200 cm^3
300
What does 1/3 mean?
Divide by 3
400
Find the area for the circle.
If you use 3.14 as pi:
113.04 cm^2
If you use 3 as pi:
108 cm^2
400
What shapes make up the composite shape?
-Triangle
-Rectangle
-2 Semi-circles (make up one circle)
400
What is the total surface area of the rectangular prism?
Rectangle 1- 24cm^2
Rectangle 2- 48 cm^2
Rectangle 3-
Rectangle 4- 24cm^2
Rectangle 5- 48 cm^2
Rectangle 6- 32 cm^2
Total surface area- 208 cm^2
400
What is the volume of the rectangular pyramid?
180 cm^3
400
How do you find the volume of a pyramid?
Area of base x height divided by 3
500
A) 15.7 cm
500
What is the total area of the composite shape?
-Triangle area:
112 cm^2
-Rectangle area:
48 cm^2
-2 Semi-circles (make up one circle):
7 cm^2
-Total area of the composite shape:
167 cm^2
500
What is the total surface area of the rectangular pyramid?
Triangle 1-
75 i n ^2
Triangle 2-
42 i n ^2
Triangle 3-
75 i n ^2
Triangle 4-
42 i n^2
Rectangle-
35 i n^2
Total surface area-
269 i n ^2
500
What is the difference between the volume of a prism and a pyramid of the same base and height?
The volume of the pyramid would be 1/3 the volume of the prism.
The volume of the prism would be 3 times the volume of the pyramid.
500
What does the B mean in the volume formula?
AREA OF BASE
(if you put base, you are wrong!!)