A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
PLZ HELP WILL MEDAL AND FAN
What is the surface area of the triangular prism shown with height 5 feet? You can use the formula: SA = 2B + PH.
anonymous
 one year ago
PLZ HELP WILL MEDAL AND FAN What is the surface area of the triangular prism shown with height 5 feet? You can use the formula: SA = 2B + PH.

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0eight hundred eighty square feet nine hundred ten square feet one thousand two hundred square feet two thousand five hundred fifty square feet

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Do you understand the given formula for the total surface area of the prism?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Ok. I'll explain the formula to you then you can use the formula. A prism is a solid that is created by taking a polygon, the base, and sliding the base a certain distance.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1In your case you have a triangular prism. The bases are triangles.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Here is one base of your prism. This base now slides 5 ft toward the back of the drawing. dw:1437328868066:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1437328935002:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1There is the prism. The bases can be any polygon. In your case, the bases are triangles. The side faces of a prism are always parallelograms.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1If the prism is a right prism, like your is, then the side faces are not only parallelograms, but they are rectangles.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now let's look at the surface area formula. SA = 2B + PH The total surface are of a prism is the sum of two components, the area of the bases and the area of the lateral faces. 2B means two times B, the area of the base. Find the area of a base, and multiply by 2 to account for the are of the two bases. PH means the perimeter of the base times the height. This gives you the lateral area. This is the area of all the rectangular faces combined.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now we can work on the two components of the area and find the total surface area.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Base area: 2B Each base is a triangle. Looking in the figure, each base is a triangle with base 30 ft and height 16 ft. How do you find the area of a triangle with base 30 ft and height 16 ft?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(\Large A_{triangle} = \dfrac{bh}{2} \)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so i need to do 30x16/2?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Multiply the base by the height and divide by 2. That is the area of each base. What do you get?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Yes, exactly. Do that.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0240 that is what i got

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Correct. That is B, the area of each base. The formula has 2B, the area of both bases, so multiply 240 ft^2 by 2 to find 2B.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so would that be 480

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Correct. The 2B part is 480 ft^2. Now we need to work on the lateral surface area, the surface area of the three rectangular sides.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0How do I find out PH?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1The lateral surface area is PH. P is the perimeter of the base. H is the height of the prism. Looking at the figure, we see the base is a triangle with side lengths 30 ft, 16 ft, and 34 ft. Can you find P, the perimeter of the triangular base?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Correct. Now look in the figure again. What is the height of the prism?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1No. Be careful. I know it can be confusing. We have two different sides called height here. The height of the base is 16 ft. We also have the height of the prism. In this case we need the height of the prism, not the height of the base.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1437330179269:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1437330207419:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Correct. 5 ft is the height of the prism.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now you need to find PH. Multiply the perimeter of the base by the height of the prism. What is 80 ft * 5 ft ?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Really? What is 8 * 5?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Oh. I see. Great 400 ft^2.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now we finish by adding the two components of the area. SA = 2B + PH SA = 480 ft^2 + 400 ft^2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so now I do 400+480=880, is that my answer

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Here is how the problem can be shown: \(SA = 2B + PH\) \(SA = 2 \times \dfrac{bh}{2} + (30 ~ft + 16 ~ft + 34 ~ft)(5 ~ft) \) \(SA = 2 \times \dfrac{(30 ~ft)(16~ft)}{2} + (80~ft)(5~ft) \) \(SA = 2 \times 240~ft^2 + 400~ft^2\) \(SA = 480 ~ft^2 + 400~ft^2\) \(SA = 880 ~ft^2\)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Yes, 880 ft^2 is the answer.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you so much, you just didn't help me find the answer but you also helped me understand

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1You are very welcome. I'm glad you understand it now.
Ask your own question
Sign UpFind 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.