Question

#15. A cube has a volume of 200 cm ^2 write the

Answer 1

Answer:

$2(25)^{\dfrac{1}{3}}$

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 :

$V=a^3$

a is the side of the cube

$a=\sqrt[3]{200} \\\\=(200)^{\dfrac{1}{3}}\\\\=(25\times 8)^{\dfrac{1}{3}}\\\\=(25)^{\dfrac{1}{3}}\times (8)^{\dfrac{1}{3}}\\\\=2(25)^{\dfrac{1}{3}}$

So, the edge length of the cube is $2(25)^{\dfrac{1}{3}}$.