In this program we look at applications of area and volume. We do this in the context of three real-world applications. In the first, we look at the sinking of the Titanic in the context of volume and density. In the second application we look at the glass pyramid at the Louvre Museum and calculate its surface area.

The sinking of the Titanic provides an opportunity to explore volume, density, and buoyancy.

The sinking of the Titanic provides an opportunity to explore volume, density, and buoyancy.

The glass-paneled pyramid at the Louvre Museum in Paris is a tessellation of rhombus-shaped glass panels.

The Citibank Tower in New York City presents some unique design challenges. In addition it has to cope with a problem that all tall structure have to deal with: heat loss.

In spite of their massive size, submarines are precision instruments. A submarine must withstand large amounts of water pressure; otherwise, a serious breach can occur. Rational functions are used to study the relationship between water pressure and volume. Students graph rational functions to study the forces at work with a submarine. 

All living things take up a certain amount of space, and therefore have volume. They also have a certain amount of surface area. The ratio of surface area to volume, which is a rational function, reveals important information about the organism. Students look at different graphs of these functions for different organisms. 

In this video, students see a derivation of the formula for the volume of a pyramid.

This is part of a collection of math examples that focus on polynomial concepts.

This is part of a collection of math examples that focus on polynomial concepts.

This is part of a collection of math examples that focus on polynomial concepts.

This is part of a collection of math examples that focus on polynomial concepts.

This is part of a collection of math examples that focus on polynomial concepts.

This is part of a collection of math examples that focus on polynomial concepts.

This is part of a collection of math examples that focus on polynomial concepts.

This is part of a collection of math examples that focus on volume.

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This is part of a collection of math examples that focus on volume.

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Create a Slide Show

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This is part of a collection of math examples that focus on volume.

Note: The download is an image file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Create a Slide Show

Subscribers can use Slide Show Creator to create a slide show from the complet

This is part of a collection of math examples that focus on volume.

Note: The download is an image file.

Related Resources

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Create a Slide Show

Subscribers can use Slide Show Creator to create a slide show from the complet

This is part of a collection of math examples that focus on volume.

Note: The download is an image file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Create a Slide Show

Subscribers can use Slide Show Creator to create a slide show from the complet

This is part of a collection of math examples that focus on volume.

Note: The download is an image file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Create a Slide Show

Subscribers can use Slide Show Creator to create a slide show from the complet

This is part of a collection of math examples that focus on volume.

Note: The download is an image file.

Related Resources

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Create a Slide Show

Subscribers can use Slide Show Creator to create a slide show from the complet

This is part of a collection of math examples that focus on volume.

Note: The download is an image file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Create a Slide Show

Subscribers can use Slide Show Creator to create a slide show from the complet

This is part of a collection of math examples that focus on volume.

Note: The download is an image file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Create a Slide Show

Subscribers can use Slide Show Creator to create a slide show from the complet

This is part of a collection of math examples that focus on volume.

Note: The download is an image file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Create a Slide Show

Subscribers can use Slide Show Creator to create a slide show from the complet