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AP Calculus AB/BC

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Solid with rectangular cross sections

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AP Calculus AB/BC

Definition

A three-dimensional object that has rectangular shapes as its cross sections when sliced perpendicular to its base.

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Practice Questions (3)

Which formula can be used to find the volume of a solid with rectangular cross sections over an interval [a,b]?
The base of a solid with rectangular cross sections is bounded by the y-axes, y = sin x, and y = 1 for 0</=x</=pi/2. If the width of a rectangular cross section is given by 1-sin(x) and its height is 3 which of the following formulas gives the volume of the solid?
The base of a solid with rectangular cross sections is bounded by the y-axes, y = sin x, and y = 1 for 0</=x</=pi/2. If the width of a rectangular cross section is given by 1-sin(x) and its height is 3 times its width, which of the following formulas gives the volume of the solid?

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