Math with Bad DrawingsCartoon Archive

How Sparse Is Alaska?

September 25, 2025

To make Alaska's population density vivid: spread only Kentucky's population across the whole U.S., and it would still be denser than Alaska.

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Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.

Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2025-09-25-how-sparse-is-alaska/ (CC BY-NC 4.0)
Transcript

[1] "We all know Alaska is sparsely populated." Alaska: 1.1 people/mi². Whole U.S. (including Alaska): 94 people/mi². "But what does that really mean?"

[2] "Well, empty out the U.S. (340 million people) except for the state of Kentucky (4.6 million). Disperse the people of Kentucky evenly across the now-vacant nation (including Alaska)."

[3] "A present-day Alaskan, arriving in this scenario, would say…" Alaskan: "Whoa! How did it get so crowded here?" [Kentucky resettlement scenario: 1.2 people/mi²]

Topics
Number & Arithmetic › Rates › Population DensityNumber & Arithmetic › Ratios & ProportionsNumber & Arithmetic › Large NumbersApplied Math › Geography & Maps
Level
Middle SchoolHigh SchoolAll Ages
Themes
Visual ExplanationsEveryday Life