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## Integral Calculus

### Unit 3: Lesson 7

Volume: squares and rectangles cross sections

# Volumes with cross sections: squares and rectangles

AP.CALC: CHA‑5 (EU), CHA‑5.B (LO), CHA‑5.B.1 (EK)

## Problem

Let R be the region enclosed by the curves y, equals, square root of, x, end square root and y, equals, start fraction, x, divided by, 3, end fraction.
Region R is the base of a solid whose cross sections perpendicular to the x-axis are squares.
Which one of the definite integrals gives the volume of the solid?