457,635 views
44 votes
44 votes
HELP PLEASE

What is the surface area of this right triangular prism?
Enter your answer in the box.
in²

HELP PLEASE What is the surface area of this right triangular prism? Enter your answer-example-1
User Hsin
by
2.4k points

1 Answer

14 votes
14 votes

The surface area is the sum of the areas of the faces of a figure. We can break this figure down into 3 different shapes: the base rectangle, the rectangles that come to a point, and the two triangles.

Area of a Rectangle = base x height

Area of a Triangle = 1/2 x base x height

Base rectangle = 24 x 12 = 288

Rectangles that come to a point = 2(12 x 13) = 2(156) = 312

---There are two rectangles, which is why I multiplied the area by 2.

Triangles = 2(1/2 x 24 x 5) = 2(1/2 x 120) = 2(60) = 120

Surface Area = sum of all the areas of the faces


Surface Area = 288 + 312 + 120 = 720 in^2

Answer = 720 in^2

Hope this helps!

User Mwilson
by
2.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.