Follow the steps to find the Surface Area of the cube.

Shape: Cube
9 cm, 9 cm and 9 cm
What is the area of one side?
One sides: [?]
Total SA: [?]

1 answer

To find the surface area of a cube, you can follow these steps:

  1. Determine the area of one side (face): Each side of a cube is a square. The area \( A \) of a square is given by the formula: \[ A = \text{side length}^2 \] Given that the side length is 9 cm, the area of one side is: \[ A = 9 , \text{cm} \times 9 , \text{cm} = 81 , \text{cm}^2 \]

    So, one side area: 81 cm².

  2. Calculate the total surface area (SA): A cube has 6 identical faces. Therefore, the total surface area \( SA \) is calculated by multiplying the area of one side by the number of sides: \[ SA = 6 \times A = 6 \times 81 , \text{cm}^2 = 486 , \text{cm}^2 \]

    So, Total Surface Area: 486 cm².

Summary:

  • Area of one side: 81 cm²
  • Total Surface Area: 486 cm²