A beam has a rectangular cross$-$section as shown below.

In order to increase the beam's resistance to bending, you are going to switch to a different cross$-$section.

Which of the following changes will most drastically increase the beam's ability to resist bending?

triple the height $($h$)$ only

triple the width $($b$)$ only

double both the width $($b$)$ and height $($h$)$

halve the width $($b$)$ and double the height $($h$)$

quadruple the width $($b$)$ only