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

Question

anonymous · Answer

The answer actually in book equaled this; a=277 b=576

anonymous · Answer

Sorry I calculated the surface area instead of volume.....

Wait I'll calculate the volume......

anonymous · Answer

a) The bases are equilateral triangles with sides of length 8 ft, and the height of the prism is 10ft. 

Volume = area of base x height

base is equilateral triangle so

                           sqrt(3)                         1.73                        1.73
area of base = ------- * (side)^2 = -----  * (8 ft)^2 = ----- * 64 ft^2 = 27.68 ft^2
                                4                                4                              4
                                                                         
so Volume = 27.68 ft^2 * 10 ft = 276.8 ft^3  ≈  277 ft^3

so your answer is              a) 277 ft^3