Volume of Pyramids and Cones Quiz

What is the formula for the volume of a pyramid?

• Base area times height

• 1/3 base area times height

• Base area times height divided by 2

• 1/2 base area times height

How does the volume of a pyramid compare to a prism with the same base and height?

• It is double

• It is half

• It is one-third

• It is the same

What is the formula for the volume of a cone?

• Pi times radius squared times height

• Pi times radius times height

• 1/3 Pi times radius squared times height

• 1/2 Pi times radius squared times height

In the example of a triangular pyramid, what is the base area if the base is 4x6?

• 36 square meters

• 18 square meters

• 12 square meters

• 24 square meters

What is the volume of a cone with a radius of 2.2 and height of 4.5?

• 9.84 Pi cm cubed

• 14.52 Pi cm cubed

• 22.8 cm cubed

• 7.26 Pi cm cubed

How do you find the total volume of a composite solid consisting of a pyramid and a prism?

• Add the volumes of the pyramid and prism

• Multiply the volumes of the pyramid and prism

• Divide the volume of the prism by the pyramid

• Subtract the volume of the pyramid from the prism

If a pyramid has a base area of 36 and height of 6, what is its volume?

• 54 cubic meters

• 216 cubic meters

• 108 cubic meters

• 72 cubic meters

What is the volume of a hexagonal pyramid with a base area of 216√3 and height of 17?

• 432√3 ft cubed

• 648√3 ft cubed

• 864√3 ft cubed

• 949√3 ft cubed

What should you do if given a slant height instead of the perpendicular height?

• Multiply the slant height by the base area

• Use the Pythagorean theorem to find the perpendicular height

• Ignore the slant height

• Use the slant height directly

What is the importance of using the correct base area in volume calculations?

• It ensures the volume is minimized

• It ensures the volume is maximized

• It has no impact on the volume

• It ensures the volume is accurate