A pentagonal prism has a base area of 124 square inches. The lateral area (area of the sides) is made up of 5 equal-sized rectan
1 answer:
The surface area of the pentagonal prism is 648 square inches.
Step-by-step explanation:
Step 1:
The surface area of a shape is the sum of all the areas of all the external surfaces.
The pentagonal prism has a total of 7 sides i.e. 2 pentagonal sides and 5 rectangular sides.
The total surface area of the prism is the sum of the individual areas of the 7 sides.
Step 2:
The area of the 2 pentagonal sides square inches.
The area of each rectangular side is 80 square inches. So
The area of 5 rectangular sides square inches.
The total surface area of the prism square inches.
The surface area of the pentagonal prism is 648 square inches.
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Answer:
Step-by-step explanation:
Remark
I don't think you need the quadratic formula for this equation. It just factors into (b - 2)(b - 2), but I'll do it because you requested it.
Formula
Givens
a = 1
b = - 4
c = 4
Solution
x = - - 4 +/- sqrt((-4^2) - 4*1*4)
====================
2*1
x = 4 +/- sqrt (16 - 16)
==========
2
x = 4/2
x = 2
There are 2 roots but both of them are the same. Some teachers say there is only 1 root. I'm in that group.
