To solve this problem, we will first establish the relationship between the scale factor by which the dimensions of the pyramid are multiplied and how that affects the surface area.
If you have a right square pyramid and you multiply the lengths of the sides of the base and the slant height by a scale factor `k`, the new surface area `A'` can be found using the square of the scale factor times the original surface area `A`. This is true because the surface area of a three-dimensional figure is proportional to the square of its linear dimensions.
Mathematically, we can represent this relationship as:
`A' = k^2 * A`
Where:
- `A'` is the new surface area.
- `k` is the scale factor.
- `A` is the original surface area.
In the case of our pyramid, the original surface area `A` is 80 m², and the scale factor `k` is 5. We will apply the above formula to find the new surface area:
`A' = 5^2 * 80 m² = 25 * 80 m² = 2000 m²`
Therefore, the surface area of the new pyramid, after all the dimensions have been multiplied by 5, is 2000 m².
Hence, the correct option is:
O A) 2000 m²
