Find the volume and surface area of a cube with an edge of 10 decimeters.

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

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

Let’s find the volume of this cube:

V = 10³ = 1000 dm³.

All 6 faces of a cube are equal, so the total surface area of a cube can be found using the following formula:

S = 6Sgr, where Sgr is the area of one face.

The area of a cube face is a square and is searched for by the formula:

Sgr = a².

Find the area of the face:

Sgr = 10² = 100 dm².

Find the surface area of the cube:

S = 6 * 100 = 600 dm².

Answer: the volume of the cube is 1000 dm³, the surface area of the cube is 600 dm².