A pentagonal prism has a base area of 124 square inches. The lateral area (area of sides) is made up of 5 equal-sized rectangles

Question

4 years ago

5

that are each 80 square inches. What is the surface area of the pentagonal prism?

1 answer:

blondinia [14] · Answer 1 · 2021-11-28T00:51:38+03:00

Answer:

The surface area of the pentagonal prism is equal to 648 square inches

Step-by-step explanation:

we know that

The surface area of the pentagonal prism is equal to the area of the base and the top plus the lateral area

so

$SA=2B+LA$

where

B is the area of the pentagonal base

LA is the lateral area (area of 5 equal-sized rectangles)

$SA=2(124)+5(80)$

$SA=248+400\\SA=648\ in^2$