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Classifying Geometric Figures
Volume
Area
Surface Area/Capacity
100
All of my faces are triangular. What am I?
Triangular Pyramid
100
A rectangular prism has a volume of 210 cubic inches. Its height is 6 inches. What is the area of the base?
35 square inches
100
If a circle has a diameter of 6 units, what is its radius?
3 units
100
A prism is made out of centimeter cubes. It has a height of 3 cubes, a length of 4 cubes, and a width of 5 cubes. What is its surface area?
94 square centimeters
200
I have a pair of bases and exactly eight vertices. I am a __________ a. Pyramid b. Cone c. Rectangular Prism d. Cylinder
C. Rectangular Prism
200
There are three boxes. Which one has the largest volume? Box 1 has a height of 2 ft, width of 2 ft, and length of 2 ft. Box 2 has a height of 2.5 ft, width of 1.5 ft, and length of 2 ft. Box 3 has a height of 1 foot, width of 3 ft, and a length of 2 ft.
Box 1 has the largest volume- 8 cubic ft.
200
Circumference of a circle = pi x d If the radius of a circle is 8 units. What is its circumference?
50.24 units
200
What information (three things) do you need to figure out how much wrapping paper you need to cover an entire cylinder? (No overlapping!)
1. Area of the base 2. Circumference of the base 3. Height
300
I have exactly two bases and no vertices. What am I?
Cylinder
300
A prism is made out of centimeter cubes. It has a height of 3 cubes, a length of 4 cubes, and a width of 5 cubes. 1) What is the area of the base? 2) What is the volume of the prism?
1) 20 square centimeters 2) 60 cubic centimeters
300
A cylinder has a height of 7 inches. Its base has a 3 in. radius. 1) What is the area of the base? 2) What is the volume? Area of a Circle = pi x radius^2 Volume of a Cylinder = pi x radius^2 x h
1) 28.26 square inches 2) 197.82 cubic inches
300
Mia's fish are sick, and she wants to add medicine to the tank. The tank is a rectangular prism. The instructions suggest adding one drop of medicine for every 4 L of water. The base of the fish tank measures 30 cm by 15 cm. The tank if filled with water to a height of about 20 cm. How many drops of medicine should Min add to her tank? Explain how you found you answer. Reminder: 1 L = 1,000 cubic cm
Volume = 30 x 15 x 20 = 9,000 cubic cm. 9,000 cubic cm = 9 L 9 drops of water
400
I have one base and one curved surface. What am I?
Cone
400
A prism is made out of centimeter cubes. It has a height of 3 cubes, a length of 4 cubes, and a width of 5 cubes. 1) What is the prism's volume? 2) If you kept the base the same but doubled the volume of this prism, what would the height be?
1) 60 cubic centimeters 2) 6 centimeters
400
A pyramid has a height of 5 inches. The area of its base is 20 square inches. What is the volume of the pyramid? Write a number sentence to show how you found your answer.
33.3 cubic inches V = 1/3 x 20 x 5
500
I have no vertices, edges, or faces. What am I?
Sphere
500
A cylinder has a volume of 84 cubic inches. If you place a cone inside of a cylinder and the cone is an exact fit (that is, the apex of the cone touches the bottom of the cylinder, and the base of the cone fits exactly at the top of the cylinder), what would the volume of that cone be?
28 cubic inches (1/3 of 84)