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Unit 8: Applications of Integration

Volumes with Cross Sections: Squares and Rectangles

Find the volume of a solid built on a flat base whose slices are squares or rectangles, by integrating the area of one slice across the base.

Topic 8.7 · 6 min read

This lesson comes with the AP Calculus BC plan

In this lesson

  1. 01Volume as a sum of thin slabs
  2. 02Reading the side length from the base
  3. 03Slices perpendicular to the y-axis
  4. 04Worked examples
  5. 05Where students lose points
  6. 06On the exam

The first units’ lessons are free. The plan opens every lesson, every practice question with worked solutions, your study plan and calendar, for $14.49 a month. Cancel any time.

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