Exploring Volume of Pyramids and Cones

How many pyramids fit into a prism with the same base and height?

• 2 pyramids

• 4 pyramids

• 3 pyramids

• 1 pyramid

Tags

CCSS.HSG.GMD.A.3

What is the formula to calculate the volume of a pyramid?

• 2/3 * base area * height

• 1/3 * base area * height

• base area * height

• 1/2 * base area * height

Tags

CCSS.HSG.GMD.A.3

What is the relationship between the volume of a cone and a cylinder with the same base and height?

• The cone's volume is one third of the cylinder's volume.

• The cone's volume is half of the cylinder's volume.

• The cone's volume is the same as the cylinder's volume.

• The cone's volume is three times the cylinder's volume.

Tags

CCSS.3.MD.A.2

How do you find the height of a pyramid for volume calculation?

• Using the Pythagorean theorem

• Using the area of the base

• Multiplying the base by two

• Dividing the volume by the base area

Tags

CCSS.HSG.GMD.A.3

If a pyramid has a volume of 30 units cubed, what is the volume of a prism with the same base area and height?

• 90 units cubed

• 30 units cubed

• 60 units cubed

• 10 units cubed

Tags

CCSS.HSG.GMD.A.3

What is the formula for the volume of a cone?

• 1/2 * pi * r^2 * h

• pi * r^2 * h

• 2/3 * pi * r^2 * h

• 1/3 * pi * r^2 * h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How do you calculate the side length of a square pyramid from its volume?

• Square root of (volume/(1/3 * height))

• Square root of (3 * volume/height)

• Volume divided by height

• Square root of (volume/height)

Tags

CCSS.HSG.GMD.A.3

What is the diameter of a cone if its volume is 486 pi and the height is 18?

• 81 inches

• 36 inches

• 18 inches

• 9 inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How many Oreos can fit in Mr. Brush's dunce cap?

• 3200 Oreos

• 1600 Oreos

• 800 Oreos

• 6400 Oreos

Tags

CCSS.3.MD.A.2

What is the volume of a cone with a radius of 2 and a height found using the Pythagorean theorem?

• 29.4 kilometers cubed

• 147.2 kilometers cubed

• 88.36 kilometers cubed

• 49.29 kilometers cubed

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3