Find the volume of a cube if the area of its lower edge is 64 dm2.

The volume of a cube can be found using the following formula:

V = a³, where a is the side of the cube.

We do not know the side of the cube, but we know the area of the lower face, and it is equal to

S = a².

From here you can express the side of the cube. It will be equal

a = √S.

Find the side of the cube:

a = √64 = 8 dm.

Now we can find the volume of this cube as well. Let’s calculate it:

V = 8³ = 512 dm³.

Answer: the volume of a cube is 512 cubic decimeters.