### Home > APCALC > Chapter 8 > Lesson 8.3.3 > Problem 8-124

8-124.

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 includes 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 an integral that calculates 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 8-124 HW eTool*