### Home > CALC > Chapter 8 > Lesson 8.3.2 > Problem8-111

8-111.

The base of a solid with square cross-sections perpendicular to the $x$-axis is bounded by $f(x) =\sqrt { x }$ and the $x$-axis. Sketch the solid formed and set up an integral to find the volume from $0 ≤ x ≤ 4$.

The base and height of each cross section will be the length of $f(x)$ starting at $x = 0$ (an impossibly small square) and ending at $x = 4$ (a $2 x 2$ square).