A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 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.
anonymous
 4 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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw: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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw: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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0@S The answer in the book says its exactly 295ft for letter a

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0OOops.. 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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Instead of using 8 as a base when calculating the area of the triangle, I used 4.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Now it comes out to 295

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Do you understand it though?
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.