# Geometry Problem Solving Paper

Published: 2017-11-15 08:53:35
265 words
1 pages
3 min to read B Categories:
University/College:
Carnegie Mellon University
Type of paper:
Problem solving
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Total Surface Area Working

 Rectangular Prism Right Circular Cylinder Right Circular Cone Sphere Volume Formula V=whl V=πr2h V=πr2h/3 V=4/3πr3 1560 in3 1539.38 m3 1507.96 1500 in3 Total surface area formula TSA = 2(lw + lh + wh) TSA=2πrh+2πr2 TSA=πrs + πr2 TSA = 4πr2 l = 10 inw = 13 inh = 12 ind = 20.3224 inS = 812 in2V = 1560 in3 r = 7 mh = 10 mV = 1539.38 m3L = 439.823 m2T = 153.938 m2 r = 12 inh = 10 ins = 15.6205 inV = 1507.96 in3L = 588.879 in2B = 452.389 in2A = 1041.27 in2 r = 7.3 inV = 1630 in3A = 670 in2C = 45.9 in TSA =812 in2 =747.699 m2 = 1041.27 in2 = 670 in2x Area of bottom =130 in2 = 154 in2 = 452 in2 = 670 +670+167 in2=1674 in2 Total area =942 in2 =901.7 in2 =1493.27 in2 =837 in2 Key l = lengthw = widthh = height r = radiush = heightV = volumeL = lateral surface area r = radiush = heights = slant height

Calculation for cost

 Rectangular Prism Right Circular Cylinder Right Circular Cone Sphere Cheapest material Total area =942 in2 =901.7 in2 =1493.27 in2 =837 in2 Wood - \$3.06 per square foot 6.542X3.06 =20.019 6.26X3.06= 19.16 10.37 x 3.06= 31.732 11.63 X3.06=35.573 Wood/ right circular cylinder Plastic - \$23.97 per square yard 0.73 X23.97=17.5 0.12X23.97=16.78 1.16 X 23.97=27.619 1.3X23.97=31.161 Plastic /Right Circular Cylinder Aluminum - \$0.02 per square inch 942 X0.02=18.84 901.7X0.02= 18.03 1041.27X0.02= 29.865 1674X0.02=33.48 Aluminum/ Right Circular Cylinder Stainless Steel - \$35.46 per square meter 0.6077407X35.46=  21.55 0.581 X35.46 =  20.63 0.67X35.46=34.162 1.078 x 35.46= 38.297 Stainless Steel /Right Circular Cylinder

Conclusion

Total cost of plastic container with right circular cylinder shape is only \$16.78, compared to Aluminum \$18.03, and Stainless Steel \$20.63, or wood \$ 19.16.

Recommendation

The company should choose plastic material and make them in the shape of Right Circular Cylinder because it is the cheapest and costs only \$16.78 per container.

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