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malibugranprix2000
Group Title
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.
 2 years ago
 2 years ago
malibugranprix2000 Group Title
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.
 2 years ago
 2 years ago

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S Group TitleBest ResponseYou've already chosen the best response.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 years ago

S Group TitleBest ResponseYou've already chosen the best response.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
 2 years ago

malibugranprix2000 Group TitleBest ResponseYou've already chosen the best response.0
@S The answer in the book says its exactly 295ft for letter a
 2 years ago

S Group TitleBest ResponseYou've already chosen the best response.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
 2 years ago

S Group TitleBest ResponseYou've already chosen the best response.1
Instead of using 8 as a base when calculating the area of the triangle, I used 4.
 2 years ago

S Group TitleBest ResponseYou've already chosen the best response.1
Now it comes out to 295
 2 years ago

S Group TitleBest ResponseYou've already chosen the best response.1
Do you understand it though?
 2 years ago

malibugranprix2000 Group TitleBest ResponseYou've already chosen the best response.0
yes thank you
 2 years ago
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