Question

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.

Answer 1

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)



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