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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)