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1.- A concrete pile from waterfront pier was pulled from theharbor water at Port

ID: 75789 • Letter: 1

Question

1.- A concrete pile from waterfront pier was pulled from theharbor water at Port Hueneme, California. Its dimensions were 14inches*14 inches* 15 feet (1 in = 2.54 cm). So, a) What is the surface area expressed in square feet, of asingle face of the pile? Exclude the ends of the pile. b) Determinethe total surface area, expressed in square meters, of the pile,including the ends of the pile. And c) How many cubic meters ofconcrete were used to make the pile? 1.- A concrete pile from waterfront pier was pulled from theharbor water at Port Hueneme, California. Its dimensions were 14inches*14 inches* 15 feet (1 in = 2.54 cm). So, a) What is the surface area expressed in square feet, of asingle face of the pile? Exclude the ends of the pile. b) Determinethe total surface area, expressed in square meters, of the pile,including the ends of the pile. And c) How many cubic meters ofconcrete were used to make the pile?

Explanation / Answer

Given Length L = 14 inches width W = 14 inches height h = 15 ft (a). surface area A = 2 [ LW + Wh + h L ]                              = 2 [ 196 + 210 + 210 ]                              = 1232 ft ^ 2 (b). we know 1 ft = 2.54 cm                             = 0.0254 m Area of the end sides A ' = ( 14 ft * 14 ft ) + ( 14ft *14 ft )                                       = 392 ft^ 2                                       = 392 * ( 0.0254 m ) ^ 2                                       = 0.2529 m ^ 2 So, total surface area A = 1232 * ( 0.0254 m ) ^ 2                                      = 0.7948 m ^ 2 Therefore surface area including ends of the pipe = A +A '                                                                           = 1.0477 m ^ 2 (c). Volume of the pier V = 14 ft * 14 ft * 15 ft                                        = 2940 ft ^ 3                                        = 2940 * ( 0.0254 m ) ^ 3                                        = 0.048177 m ^ 3 No.of cubic meters of concrete = 0.048177 m ^ 3
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