Understanding the Volume of Triangular Pyramids and Prisms

The video explains that the volume of a triangular pyramid is one-third that of a triangular prism. This concept is demonstrated using water, where three pyramids of water are shown to fill exactly one prism, visually illustrating the volume relationship.

What is the relationship between the volume of a triangular pyramid and a triangular prism?

• A triangular pyramid has one-third the volume of a triangular prism.

• A triangular pyramid has the same volume as a triangular prism.

• A triangular pyramid has twice the volume of a triangular prism.

• A triangular pyramid has half the volume of a triangular prism.

How many triangular pyramids are needed to fill the volume of one triangular prism?

• Two

• Four

• One

• Three

In the demonstration, what is used to show the volume relationship between the pyramid and the prism?

• Rice

• Sand

• Water

• Marbles

What is the purpose of the water demonstration in the video?

• To prove that a pyramid and a prism have the same volume.

• To demonstrate that a prism is smaller than a pyramid.

• To illustrate that three pyramids equal one prism in volume.

• To show that a pyramid is larger than a prism.

Which of the following statements is true based on the video?

• A triangular prism is filled by two pyramids.

• A triangular pyramid is larger than a prism.

• A prism and a pyramid have equal volumes.

• Three pyramids are needed to fill one prism.