Height of the prism with a pentagonal base (h): 8 cm
Area of the pentagonal base (A): 30.5 cm²
Step 2: Calculate the volume of the prism with a pentagonal base
We have a regular pentagonal prism, that is, the 5 sides of the base are equal and we know the area of the base and the height of the prism. We can calculate its volume using the following expression.
Let "a" and "b" be the two numbers So a*b=-8 and a+b=-7 Therefore S=-7 and P=-8 Using (x^2)-S+P=0 => (x^2)-(-7)+(-8)=0 => (x^2)+7-8=0 By factorizing we get (x+8)(x-1)=0 So a can be either -8 or 1 and b can be 1 or -8 Meaning that the two numbers are -8 and 1.
