A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
A prism has a right triangle as its base with a hypotenuse that measures 15 meters and legs that measure 9 meters and 12 meters. What is the surface area of this prism if the height of the prism is 11 meters?
 2 years ago
A prism has a right triangle as its base with a hypotenuse that measures 15 meters and legs that measure 9 meters and 12 meters. What is the surface area of this prism if the height of the prism is 11 meters?

This Question is Closed

m_charron2
 2 years ago
Best ResponseYou've already chosen the best response.2Basically, a triangular prism looks like this dw:1335213379196:dw To find the total surface area of this prism, you can decompose it into all of its 5 faces (2 triangles and 3 rectangles). Is this something you think you can do? I'll show you a quicker method one way or the other, but you just need to understand this part first

m_charron2
 2 years ago
Best ResponseYou've already chosen the best response.2So, I'll assume that you got it at this point. Now, for the quick way : first, calculate the area of the triangles (the bases of prism) : h*b/2 = 12*9/2 = 54 for one triangle, and since you have 2, 54*2 = 108 for both. Let's put that temporarely in the back of our minds whilst we calculate the rest Now that this is done, you're left with the 3 rectangles. They have something special, these 3 rectangles : they all have the same height (11 in this case). So here is the total area for the 3 of them : 9*11 + 12*11 + 15*11 Since 11 is a common factor to the 3 terms, I suggest we factor it from the addition : 11(9 + 12 + 15) = 396 9+12+15, that looks a lot like the perimeter of your triangle, right? So that's how you can calculate the area of any prism : the area of both bases + (perimeter of the base * height of the prism). So in this case : 2*54 + 11*(9+12+15) = 504 m^2
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.