For a cube, the volume of which is 8 cm in a cube, all the edges were reduced

For a cube, the volume of which is 8 cm in a cube, all the edges were reduced by 2 times. What is the volume and surface area of the new cube?

By the condition of the problem, it is known that the cube had a volume of 8 cm³.

Let’s find what the length of the edge of this cube is, for this we need to extract the value of its volume from the root of the third power:

a = ³√V = ³√8 = 2 cm.

After the edges of the cube were halved, their length was:

2/2 = 1 centimeter.

Therefore, the volume of the new cube became equal to:

V = a³ = 1³ = 1 cm³.

And its surface area:

S = a² = 1² = 1 cm².

Answer: the new cube will have a surface area of 1 cm² and a volume of 1 cm³.