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?
1 answer:
the complete question in the attached figure
<span>we have to find the surface area first</span>
<span>the area of the base is A1------- > 5*2=10 ft</span>²
A2 (area of two rectangles faces)---------- > 2*3+2*4=14 ft²
A3 (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)²
9-x²=16-(5-x)²-------------- >9-x²=16-25-10x-x²----------------- > x=1.8
h²=9-(1.8)²------------ > h=2.4 ft
A3= (5*2.4)*2/2=12 ft²
the surface area total=A1+A2+A3=10+14+12=36 ft²
if $0.22 ------------------------ > 1 ft²
X----------------------------------> 36 ft²
X=36*.22=$7.92
the answer is $7.92
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