Answer:
To find the area of a cube, you need to calculate the surface area of one of its faces and then multiply it by 6 since a cube has 6 identical faces.
Given:
- Length = 6x^8 ft
- Width = 5x^2 ft
1. Calculate the area of one face:
- Area = Length * Width
- Area = 6x^8 * 5x^2
- Area = 30x^(8+2)
- Area = 30x^10 ft^2
2. Multiply by 6 to get the total surface area of the cube:
- Total Area = 6 * 30x^10
- Total Area = **180x^10 ft^2**
Therefore, the area of the cube with a length of 6x^8 ft and a width of 5x^2 ft is **180x^10 square feet**.
