Eratosthenes of Cyrene Birth 276 BC-death

195 BC Famous

Mathematician, Astronomist and Historian

Dear friend of Archimides

He designed the first universal map

F(l)ighters

The first universal mathematical map

F(l)ighters

Mathematical Problem

There is a cube with acne 2 cm. How many metres is the acne of a cube twice as the volume of the first one?

1. 16

2. 4

3. -3 16

F(l)ighters

SolutionWe set x as the desired acne.

V'=2V (1)

V=2³=8 (2)

V'=x³

According to (1),(2):

2·8=x³

x³=16

3 16x F(l)ighters