volume of prisms volume of cylinders volume of cones volume of spheres potpourri 10 20 30 40 50

Volume of Prisms

Volume of Cylinders

Volume of Cones

Volume of Spheres Potpourri

10 10 10 10 10

20 20 20 20 20

30 30 30 30 30

40 40 40 40 40

50 50 50 50 50

Question 1 - 10

• Find the volume of a rectangular prism with a length of 3 feet, a width of 4 feet, and a height of 5 feet.

Answer 1 – 10

• 60 feet2

Question 1 - 20

• Identify the volume of the rectangular prism.

Answer 1 – 20

• 338 m3

Question 1 - 30

• Classify the three-dimensional figure.

Answer 1 – 30

• Triangular prism

Question 1 - 40

• If you double the height of a rectangular prism, will the volume double? Explain.

Answer 1 – 40

• Yes. When you multiply by a height that is doubled, it’s like you’re multiplying the original volume by 2.

Question 1 - 50

• Find the volume of the triangular prism.

Answer 1 – 50

• 226.9 in3

Question 2 - 10

• Name 2 characteristics of a cylinder.

Answer 2 – 10

• 2 bases• Bases are circles• Curved side

Question 2 - 20

• Find the volume of the cylinder.

Answer 2 – 20

• 754.0 in.3

Question 2 - 30

• Find the volume of the cylinder.

Answer 2 – 30

• 1583 in3

Question 2 - 40

• A cylinder has a volume of 200 cubic meters. The radius is 7 meters. What is the height?

Answer 2 – 40

• 4.1 meters

Question 2 - 50

• A can of green beans has a radius of 2 inches and a height of 5 inches. What is the volume of the can?

Answer 2 – 50

• 62.8 in3

Question 3 - 10

• How are the formulas for volume of a cylinder and the volume of a cone related?

Answer 3 – 10

• To find the volume of a cone, multiply the volume of a cylinder with the same radius and height by 1/3.

Question 3 - 20

• Find the volume of the cone.

11 in.

Answer 3 – 20

• 103.7 in3

Question 3 - 30

• Find the volume of the cone.

Answer 3 – 30

• 128.3 in3

Question 3 - 40

• Write the formula you would need to find the volume of a cone with a diameter of 5 and a height of 11.

Answer 3 – 40

Question 3 - 50

• Find the volume of the figure to the nearest tenth.

Answer 3 – 50

• 23326.3 ft3

Question 4 - 10

• Find the volume of a sphere with a radius of 2 feet in terms of pi.

Answer 4 – 10

• 10.7pi ft2

Question 4 - 20

• Find the volume of a sphere with a diameter of 7 feet.

Answer 4 – 20

• 179.6 feet3

Question 4 - 30

• Find the volume of the sphere in terms of pi.

Answer 4 – 30

• 12885pi m3

Question 4 - 40

• Find the volume of the sphere. Round your answer to the nearest tenth.

Answer 4 – 40

• 26094.1 ft3

Question 4 - 50

• An ice cream cone has a diameter of 4.5 cm and a height of 10 cm. One spherical scoop of ice cream is put on the cone that has a diameter of 5 cm. If the ice cream were to melt in the cone, how much of it would overflow the cone? Round your answer to the nearest tenth.

Answer 4 – 50

• 12.4 cm3