Q:

The figure shown is a triangular prism. How much would it cost to cover the bases and the other three faces with foil that costs $0.22 per square foot?

Accepted Solution

A:
the complete question in the attached figurewe have to find the surface area firstthe area of the base is  A1------- > 5*2=10 ft²A2 (area of two rectangles faces)---------- > 2*3+2*4=14 ft²A3 (area of the two triangles faces)base of triangle------------ > 5---------- > (x)+(x-5)x²+h²=3²    ------------ > h²=9-x²(5-x)²+h²=4²----------- > h²=16-(5-x)²9-x²=16-(5-x)²-------------- >9-x²=16-25-10x-x²----------------- > x=1.8
h²=9-(1.8)²------------ > h=2.4 ftA3= (5*2.4)*2/2=12 ft²the surface area total=A1+A2+A3=10+14+12=36 ft²if $0.22 ------------------------ > 1 ft²X----------------------------------> 36 ft²X=36*.22=$7.92the answer is $7.92