Question

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QUIZ Topographic Surveys A surveyed plat of land a shown. All elevations have recorded on the stakes at the grid corners. The grid squares are 100 ft. DRAW Contour lines are 5-ft intervals. Extra credit:Find the volume in cu.yd. 219 210 200 195 196 197 203 G 214 204 197 187.5 182 188 197 F 210 199 190 179 177 183 189 m 205 194 184 174 170 177 187 D 200 187 178 169 165 173 184 195 183 174 166 159 169 180 B 190 180 171 162 159 167 177 А 1 N 3 4 an 6 7

Answer 1

219 210 200 195 196 197 203 215 21 204 1971 187.5 1782 188 197 F 210 199 160 179 177 183 189 E 205 194 184 170 187 D 200 187 178 169 165 173 184 195 183 174 166 159 169 1180 B 160 V90 180 162 19 9 161 177 А 1 2 3 4 5 6 7

volume is obtained by

$(\sum of .average. of. the .four .corners .of .each. grid)x area. of. a .grid$

there is a short cut method to find $\sum of .average. of. the .four .corners .of .each. grid$

219 210 200 195 196 197 203 214 204 197 187.5 182 188 197 F 210 199 190 179 177 183 189 205 194 184 174 170 177 187 200 187 178 169 165 173 184 195 183 174 166 159 169 180 B 190 180 171 162 159 167 A 2 3 5 6

E of average elevation of each grid YA (Eof corner values of whole area)) that is the value in RED circle + / ( Ecof edge values of the area) that is the value in GREEN elipse + E of inside values, that the values in BLUE Rectangle Y4 (219+ 19+203+190+177)+13 (210+200 +195 2 t + 1967 1974 197+189 +187 +184 +180 167+159 +162 +171 +180+195 + 200+205 + 210 +214 204 +19941904179 +177 +183 +194+184 +1747170 +177 +187.+178+169 +165 +173 + 183+174 + 166 +159 +64 69) = 197.25 + 1899 +4.508.5 - 660475 volume 6604.75 x C area of agrid) = 6604.75 x (100 x 100) - 66047500 cuft 66047500 X 0.037037 yard -244 620327 3

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