To find the total surface area of a cube, we can use the formula:
Total Surface Area = 6 × a²
where a is the length of one side of the cube.
Now, let’s calculate the total surface area for each cube with the given side lengths:
1. For a cube with side 1 cm:
Using the formula:
Total Surface Area = 6 × (1 cm)² = 6 × 1 = 6 cm²
2. For a cube with side 3 cm:
Total Surface Area = 6 × (3 cm)² = 6 × 9 = 54 cm²
3. For a cube with side 5 cm:
Total Surface Area = 6 × (5 cm)² = 6 × 25 = 150 cm²
4. For a cube with side 55 cm:
Total Surface Area = 6 × (55 cm)² = 6 × 3025 = 18150 cm²
Summary of Total Surface Areas:
- 1 cm side: 6 cm²
- 3 cm side: 54 cm²
- 5 cm side: 150 cm²
- 55 cm side: 18150 cm²
In conclusion, by applying the formula for the total surface area of a cube, we’ve calculated the surface areas for cubes with side lengths of 1 cm, 3 cm, 5 cm, and 55 cm. Each value illustrates how the surface area increases significantly with larger side lengths.