Prisms
Cylinders
Spheres
Pyramids
Cones
Final Jeopardy
100
How many faces does a pentagonal prism have?
7 faces
A pentagon has 5 faces plus the 2 bases= 7 faces
100
What shapes make the net of a cylinder?
2 Circles
1 Rectangle
100
If the diameter of a sphere is 20 what is the radius of the sphere
20/2=10
100
What shapes make up a net of a square pyramid?
The net is made up of 1 square and 4 triangles.
100
What is the word used to describe the black-dotted line that is going through the cone in this picture?
Height/Altitude
200
What type is of net is this?
Rectangular Prism
200
Find the volume of the cylinder below
v=pixx8^2xx15=3015.9cm^3
200
Find the surface area of a sphere with a radius of 3m.
4xxpixx3^2=113.1m^2
200
Find the volume of the triangular pyramid below.
Area of the Base:
1/2xx9xx13=58.5
Volume:
1/3xx58.5xx16=312cm^3
200
Find the surface area of the cone.
pixx6xx10+pixx6^2=301.6
300
Find the Surface Area of this object.
Net Way:
40+40+15+15+24+24=158cm^2
Formula Way:
2(40)+26(3)=158cm^2
300
What is the surface area of a cylinder that has a radius of 3 and a height of 5? (use 3.14 for pi)
Area of circle
pixx3^2=28.26
Area of rectangle
2xxpixx3xx5=94.2
Surface Area
28.26+28.26+94.2=150.72units^2
300
Find the volume of a sphere with a diameter of 12 centimeters
4/3xxpixx6^3=904.8 cm ^3
300
Find the surface area of the square pyramid below.
a=25+20+20+20+20=105cm^2
a=25+4(20)=105cm^2
300
What is the volume of the cone below:
v=1/3xxpixx5^2xx12
v=314.2
400
Find the volume of this object.
1/2xx5xx6xx11=165 ft^3
400
Find the volume of this cylinder
v=pixx15^2xx24
v= 16964.6mm^3
400
Find the radius of a sphere with a surface area of 1,256.6 square meters, to the nearest tenth of a meter.
4xxpixxr^2=1256.6
r^2=100
r=10m
400
Find the volume of the rectangular pyramid.
Area of the Base:
7xx4=28
Volume:
1/3xx28xx6=56m^3
400
The volume of a right cone is 36 π units. If its radius is 6 units, then what is its height?
1/3xxpixx6^2xxh=36pi
1/3xx6^2xxh=36
12xxh=36
h=3
500
Find the surface area of the object.
Net way:
30+30+104+40+96=300ft^2
Formula way:
2(1/2xx12xx5)+30xx8=300ft^2
500
If the volume of a cylinder is 2545.02 cubic inches, what is the radius of the cylinder below?
2545.02=pixxr^2xx10
81=r^2
9 =r
500
Find the radius of a sphere with a volume of 523.6 cubic cm, to the nearest tenth of a cm.
4/3xxpixxr^3=523.6
r^3=125
r=5cm
500
The volume of a pyramid whose base is a right triangle is 66 cubic units. If the two legs of the right triangle measure 4 units and 9 units, find the height of the pyramid.
Area of the base:
1/2xx36=18
Height:
66=1/3xx18xxh
66=6xxh
h=11 units
500
The volume of a right cone is 314.2 units. If its height is 12 units, find its radius.
314.2=1/3xxpixxr^2xx12
100=1/3xxr^2xx12
100=4xxr^2
25=r^2
r=5
500
A soccer ball is packaged in a box. How much room is unoccupied in the box?
20xx20xx20=8000
4/3xxpixx10^3=4188.7
8000-4188.7=3811.3