The foppish mad scientist Dr. Goldfoot (Vincent Price) plots another mad scheme to take over the world by killing off the major military leaders of every country; to that end, he creates in his secret lab a bevy of bodacious girl bombs; full-length, life-size robots that explode when embraced.

Professor Leaf, an absent-minded poet with a prejudice against the sciences, is forced to face the fact that his son is a math prodigy with little artistic talent of his own.

Professor Fergusson plans to make aviation history by making his way across Africa by balloon. He plans to claim uncharted territories in West Africa as proof of his inventions worth.