Let's solve the questions step by step!

Given:

• Each side of the cube is 3 cm.

Part (a): Work out the area of one face of the cube.

Each face of the cube is a square. The area of a square is given by: $\text{Area} = \text{side} \times \text{side}.$ Substitute $\text{side} = 3 \, \text{cm}$: $\text{Area} = 3 \times 3 = 9 \, \text{cm}^2.$

Answer for (a): The area of one face is 9 cm².

Part (b): How many faces does a cube have?

A cube has 6 faces.

Answer for (b): The cube has 6 faces.

Part (c): What is the total surface area of this cube?

The total surface area of the cube is the area of one face multiplied by the number of faces: $\text{Total Surface Area} = \text{Area of one face} \times \text{Number of faces}.$ Substitute the known values: $\text{Total Surface Area} = 9 \times 6 = 54 \, \text{cm}^2.$

Answer for (c): The total surface area of the cube is 54 cm².

Final Answers:

a) 9 cm²
b) 6 faces
c) 54 cm²

Do you want further explanation for any part? Let me know!

Related Questions:

1. How do you calculate the volume of a cube with a side length of 3 cm?
2. If the side length of the cube doubles, what will be the new surface area?
3. What is the perimeter of one face of the cube?
4. How many edges does a cube have?
5. If each side is 5 cm, what is the total surface area of the cube?

Tip:

Remember, a cube has equal side lengths, so all its faces are identical squares.