Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

malibugranprix2000

  • 2 years ago

Find the surface area of each right prism with the given features. Round to the nearest whole number. a. The bases are equilateral triangles with sides of length 8 ft, and the height of the prism is 10 ft. b. The bases are trapezoids with parallel sides of lengths 7 cm and 9 cm perpendicular to one side of length 6 cm. The height of the prism is 12 cm.

  • This Question is Closed
  1. S
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1331704594631:dw| So you have 2 triangles and 3 rectangles.. find the area of each and add up.. (area of a triangle) times 2 (cause you have 2 of them) + (area of a rectangle) times 3 (cause you have 3 of them) |dw:1331704935273:dw| a^2 + b^2 = c^2 4^2 + h^2 = 8^2 16 + h^2 = 64 h^2 = 48 h = sqrt(48) Now we can find the area of the triangle (1/2)(base)(height) = (1/2)*(4)*(sqrt(48)) = 13.86 Now lets find the area of a rectangle Side * side = 8 * 10 = 80 Now lets plug in to our original formula 2*(13.86) + 3*(80) = 267.72 = 268 square feet

  2. S
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1331705524042:dw| Here, we find the area of a trapezoid, multiply by 2, cause we have two of them, plus, the areas of each of the faces (front, back, left, right) So area of a trapezoid: ((base1+base2)/2)*height = ((9 + 7)/2) * 6 = 48 Now, we have to find the areas of each of the faces.. so its 9*12, 6*12, 7*12, and we have one missing, so lets find that: |dw:1331706007160:dw| a^2 + b^2 = c^2 2^2 + 6^2 = c^2 4 + 36 = c^2 40 = c^2 c = sqrt(40) So the total surface area is: 48*2 + 9*12 + 6*12 + 7*12 + sqrt(40) * 12 = 435.89 = 436 square feet

  3. malibugranprix2000
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @S The answer in the book says its exactly 295ft for letter a

  4. S
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    OOops.. sorry.. a^2 + b^2 = c^2 4^2 + h^2 = 8^2 16 + h^2 = 64 h^2 = 48 h = sqrt(48) Now we can find the area of the triangle (1/2)(base)(height) = (1/2)*(8)*(sqrt(48)) = 27.71 Now lets find the area of a rectangle Side * side = 8 * 10 = 80 Now lets plug in to our original formula 2*(27.71) + 3*(80) = 295.42 = 295 square feet

  5. S
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Instead of using 8 as a base when calculating the area of the triangle, I used 4.

  6. S
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Now it comes out to 295

  7. S
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Do you understand it though?

  8. malibugranprix2000
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes thank you

  9. S
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You are welcome

  10. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find 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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.