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