I need help in solving this

Sorry this is so late, I had done out all my work a couple minutes after the question was asked but was unable to answer until now due to technical difficulties. I also got a different number than the other answered, so here's mine:
Area of the small base of the trapezoid: 48 34=1632 Area of the larger base: 62 34=2108 Area of the top and bottom of the figure: (62+48)/2 40=2200 2=4400 The space on the remaining sides that are covered by the cylinders is made up for by the ends of the cylinders themselves, so it is just 42 34=1428 2=2856 The remaining surface area of the cylinders is 2pi r h
2pi 9 26=468pi*2=936pi Totaling the numbers without pi gets 10996 Add 936pi (about 2940) to that to get 13936 Final answer: about 13936 m^2 Again, sorry the answer is so late, I was unable to submit it earlier. I just thought I should add my input in case it is needed. Hope I helped :)

Answered by FirstSineOfMadness | 2024-06-10

Admire the shape and you notice:
Total Surface Area = (2* Surface area of cylinder) + (2* Area of Trapezium) + (2* Area of Rectangle without circles) + (Area of small Rectangle at the top) + (Area of big Rectangle at Bottom).
Area of cylinder = πrh + πr^2. Diameter = 18m, r = 18/2 = 9m, h = long = 26m π = 3.14 Substituting = 3.14 * 9* 26 + 3.14 9 9 = 989.1 m2. Using a calculator.
Area of Trapezium = 1/2 * (Sum of parallel sides) * height = 1/2 * ( 48 + 62) * 40 = 1/2 * ( 110) * 40 = 110 *20 = 2200 m2.
Area of rectangle without circle = Area of rectangle - Area of circle from cylinder = (42 34) - (3.14 9*9) = 1428 - 254.34 = 1173.66 m2.
Area of small rectangle at the top = 48 * 34 = 1632 m2
Area of Big rectangle at bottom = 62 * 34 = 2108 m2.
Using the stated formula above: Total surface area of composite = 2 989.1 + 2 2200 + 2*1173.66 + 1632 + 2108 = 1978.2+ 4400 + 2347.32 + 1632 + 2108 Using your calculator
Total surface area = 12 465.52 m2.
Cheers.

Answered by olemakpadu | 2024-06-10

The total surface area of the trapezoid and attached cylinders is calculated by determining the areas of the bases, the trapezoidal regions, and the cylindrical sides. The final total area, including approximations for pi, comes to approximately 13936 m². This step-by-step approach ensures a thorough understanding of the calculations involved.
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Answered by FirstSineOfMadness | 2025-04-12