b) if the surface area of the base is increased by times its original surface area,(with the same vertical height),calculate the new surface area of the pyramid.
To calculate the new surface area of the pyramid when the surface area of the base is increased by a certain factor, we need to know the original surface area of the base and the vertical height of the pyramid.
Let's denote the original surface area of the base as S and the factor by which it is increased as F. The new surface area, denoted as S', can be calculated by multiplying the original surface area by the factor F.
Mathematically, we have:
S' = S * F
For example, if the original surface area of the base is 10 square units and it is increased by 5 times, the factor F would be 5. We can plug these values into the equation to find the new surface area:
S' = 10 * 5 = 50 square units.
Therefore, the new surface area of the pyramid would be 50 square units.
In summary, to calculate the new surface area of the pyramid when the surface area of the base is increased by a certain factor, you need to multiply the original surface area by that factor.