Question

Find the Surface area of a pentagonal prism with a base area of 110in^2Formula: SA= p * h + 2 * b

Answer 1

p represent the perimeter of the base, assuming that the pentagon is regular we get:

$p=8\cdot5=40\text{ in}$

h represents the hight of the prism, which in this case is:

$h=20\text{ in}$

B represents the base area, which in this case is:

$B=110in^2$

The surface area is:

$\text{SufaceArea}=40in\cdot20in+2\cdot110in^2$$\text{SufaceArea}=800in^2+220in^2$$\text{SufaceArea}=1020in^2$