SOLUTION: What is the lateral area, in square inches, of the regular triangular prism shown in the picture? Here is a link for the image: https://imgur.com/a/1VkH1v7

Algebra ->  Surface-area -> SOLUTION: What is the lateral area, in square inches, of the regular triangular prism shown in the picture? Here is a link for the image: https://imgur.com/a/1VkH1v7      Log On


   

Question 1180124: What is the lateral area, in square inches, of the regular triangular prism shown in the picture? Here is a link for the image: https://imgur.com/a/1VkH1v7
Found 2 solutions by greenestamps, MathLover1:
Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


Since it is a regular triangular prism, the lateral surface area is the area of three congruent rectangles, each 16 inches long and 6 inches wide.

Do the simple math.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Lateral Surface Area of a Triangular Prism Formula
A%5Blat%5D=P%2Ah where P=perimeter of the base
since base is an equilateral triangle, perimeter P=3a
A%5Blat%5D=3a%2Ah+
a=6in and h=16in we have
A%5Blat%5D=3%2A6in%2A16in
A%5Blat%5D=288in%5E2