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Square Cross Sections

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AP Calculus AB/BC

Definition

Square cross sections refer to the shape of each slice taken perpendicular to a given axis. In this case, the slices have the shape of a square.

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Practice Questions (2)

The base of a solid with square cross sections is bounded by y = \sqrt{x-1}, x = 3, y = 0. What is the function A(x) that can be used to find the volume of this solid when cross-sections are taken perpendicular to the x-axis?
The base of a solid with square cross sections is bounded by y = \sqrt{x-1}, x = 3, y = 0. What is the volume of this solid?

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