### Home > CALC > Chapter 8 > Lesson 8.3.3 > Problem 8-123

8-123.

You have designed a model of a square based pyramid in honor of your calculus teacher. The height will be

Sketch a diagram of your pyramid. A complete diagram will include the function, the

- and-axes, and a typical slice labeled with the appropriate dimensions.Pyramids have pointy tips. If the height is

inches, the base would start at .Set up and evaluate the integral that will find the exact volume of your pyramid.

Notice that the cross-sections are perpendicular to the

-axis, so set up and evaluate an integral in terms of.

Use the eTool below to help solve the problem.

Click the link at right for the full version of the eTool: *Calc 8-123 HW eTool* (Desmos)