Answer:
[tex]2(25)^{\dfrac{1}{3}}[/tex]
Step-by-step explanation:
The volume of a cube is 200 cm².
We need to find the edge length of the cube.
The formula for the volume of a cube is given by :
[tex]V=a^3[/tex]
a is the side of the cube
[tex]a=\sqrt[3]{200} \\\\=(200)^{\dfrac{1}{3}}\\\\=(25\times 8)^{\dfrac{1}{3}}\\\\=(25)^{\dfrac{1}{3}}\times (8)^{\dfrac{1}{3}}\\\\=2(25)^{\dfrac{1}{3}}[/tex]
So, the edge length of the cube is [tex]2(25)^{\dfrac{1}{3}}[/tex].
