Comparing Volumes of Prisms and Pyramids

The video tutorial explores the relationship between the volumes of prisms and pyramids, emphasizing that the volume of a prism is three times that of a pyramid with the same base and height. Through a hands-on experiment using rice, the concept is visually demonstrated. The tutorial also provides mathematical explanations and encourages students to use visual aids and resources like the star chart to reinforce learning.

What is the primary difference in the bases of prisms and pyramids?

• Both have two bases

• Both have no bases

• Prisms have no bases, pyramids have two

• Prisms have two bases, pyramids have one

Tags

CCSS.2.G.A.1

CCSS.1.G.A.1

What does the height of a pyramid refer to?

• The slanted side length

• The total surface area

• The length of the base

• The perpendicular distance from the apex to the base

Tags

CCSS.7.G.B.6

According to the lesson, what must be identical in prisms and pyramids to compare their volumes directly?

• Weight

• Color

• Volume

• Base dimensions and height

Tags

CCSS.5.MD.C.5C

If a prism and a pyramid have the same base and height, how many pyramids are needed to fill the prism?

• Three

• Two

• Four

• One

Tags

CCSS.7.G.B.6

How many triangular pyramids filled the triangular prism in the demonstration?

• Four

• Three

• Two

• One

Tags

CCSS.6.G.A.4

What visual aid was used to demonstrate the volume relationship between pyramids and prisms?

• Rice

• Stones

• Sand

• Water

Tags

CCSS.HSG.GMD.A.3

What mathematical relationship exists between the volume of a prism and a pyramid with the same base and height?

• Volume of prism is half the volume of the pyramid

• Volume of prism is three times the volume of the pyramid

• Volume of prism is the same as the volume of the pyramid

• Volume of prism is twice the volume of the pyramid

Tags

CCSS.HSG.GMD.A.3

What is the volume of a pyramid relative to its corresponding prism?

• One third

• One fourth

• One half

• Two thirds

Tags

CCSS.HSG.GMD.A.3

Where can you find the formula for the volume of a prism and a pyramid?

• On the star chart

• In the textbook

• On the internet

• In the library

How is the volume of a prism calculated according to the star chart?

• Area of the base times the height

• Length times width times height

• Half the base times height

• Circumference times height

Tags

CCSS.7.G.B.6