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Solid with Square Cross Sections

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AP Calculus AB/BC

Definition

A solid where each cross-section perpendicular to its base is square-shaped.

"Solid with Square Cross Sections" also found in:

Practice Questions (5)

Which formula can be used to find the volume of a solid with square cross sections over an interval [a,b]?
The base of a solid with square cross sections is bounded by y = \sqrt{x-1}, x = 3, y = 0. What are the numerical bounds for the integral 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. Which integral can be used to find the volume of this solid when cross-sections are taken perpendicular to the x-axis?
If the equation V = \int_0^2(y^3)^2 dy is the volume formula for a solid with square cross sections taken perpendicular to the y-axis, what is the function A(y) for the area of one square cross section?
If the equation V = \int_0^2(y^3)^2 dy is the volume formula for a solid with square cross sections taken perpendicular to the y-axis, what is the formula for the length of one side of the square?

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