Calculate Cube Surface Area and Volume

The problem asks us to consider a cube with side length 5 cm and answer three questions about it.

Part a) asks to find the area of one face of the cube.
A cube has square faces. The area of a square is given by the formula .
In this case, the side length of the cube is 5 cm.
So, the area of one face is .

Part b) asks how many faces a cube has.
A cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.
Therefore, a cube has 6 faces.

Part c) asks for the total surface area of the cube.
The total surface area of a cube is the sum of the areas of all its faces. Since a cube has 6 identical faces, and the area of one face is (from part a), the total surface area is:


.

The final answer is .