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Solid

from class:

AP Calculus AB/BC

Definition

In mathematics, a solid refers to a three-dimensional object that has length, width, and height. It occupies space and has definite boundaries.

"Solid" also found in:

Subjects (19)

Practice Questions (5)

The graphs of y = x^2 -4 and y = 2x - x^2 create a bounded area that is the base of a solid. This solid has cross sections that are perpendicular to the 𝑥-axis and form squares. What are the bounds of the integral for the volume of this solid?
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?
Which integral gives the volume of a solid with equlateral triangle cross sections over an interval [a,b]?
Which integral gives the volume of a solid with semicircular cross sections over an interval [a,b]?
Consider a region defined by the function f(x) = x^2, revolved around the x-axis from x = 0 to x = 1. What is the volume of the solid formed by this revolution?

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