下图是一个几何体的三视图(单位:cm),则这个几何体的体积与表面积为
下图是一个几何体的三视图(单位:cm),则这个几何体的体积与表面积为....
下图是一个几何体的三视图(单位:cm),则这个几何体的体积与表面积为 .
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暨倩秀q6
2014-09-23
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1200+ ![](https://iknow-pic.cdn.bcebos.com/4ec2d5628535e5ddfb93f96c75c6a7efcf1b62c1?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) ;700+ |
这个几何体的直观图如图所示. 因为 ![](https://iknow-pic.cdn.bcebos.com/54fbb2fb43166d2283f74927452309f79152d285?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) =10×8×15=1200 ![](https://iknow-pic.cdn.bcebos.com/f2deb48f8c5494eed89d53aa2ef5e0fe98257ec1?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) , 又 ![](https://iknow-pic.cdn.bcebos.com/b3fb43166d224f4aed192fa00af790529922d185?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) = ![](https://iknow-pic.cdn.bcebos.com/09fa513d269759eefad03c78b1fb43166c22df85?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) × ![](https://iknow-pic.cdn.bcebos.com/908fa0ec08fa513de32a306d3e6d55fbb3fbd985?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) πR 3 = ![](https://iknow-pic.cdn.bcebos.com/09fa513d269759eefad03c78b1fb43166c22df85?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) × = ![](https://iknow-pic.cdn.bcebos.com/ae51f3deb48f8c54b36c999c39292df5e1fe7fc1?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) π ![](https://iknow-pic.cdn.bcebos.com/f2deb48f8c5494eed89d53aa2ef5e0fe98257ec1?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) , 所以所求几何体体积为 V= ![](https://iknow-pic.cdn.bcebos.com/54fbb2fb43166d2283f74927452309f79152d285?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) + ![](https://iknow-pic.cdn.bcebos.com/b3fb43166d224f4aed192fa00af790529922d185?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) =1200+ ![](https://iknow-pic.cdn.bcebos.com/ae51f3deb48f8c54b36c999c39292df5e1fe7fc1?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) π ![](https://iknow-pic.cdn.bcebos.com/f2deb48f8c5494eed89d53aa2ef5e0fe98257ec1?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) . 因为 ![](https://iknow-pic.cdn.bcebos.com/0df3d7ca7bcb0a4625a2d78a6863f6246a60af85?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) =2×(10×8+8×15+10×15)=700 ![](https://iknow-pic.cdn.bcebos.com/35a85edf8db1cb137ad660a0de54564e93584bc1?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) , 故所求几何体的表面积 ![](https://iknow-pic.cdn.bcebos.com/08f790529822720edf4ebe4978cb0a46f31fab85?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) = ![](https://iknow-pic.cdn.bcebos.com/0df3d7ca7bcb0a4625a2d78a6863f6246a60af85?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) + ![](https://iknow-pic.cdn.bcebos.com/2cf5e0fe9925bc3172e25d2b5ddf8db1ca1370c1?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) - ![](https://iknow-pic.cdn.bcebos.com/bd315c6034a85edfbc33a2904a540923dc5475c1?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) =700+ ![](https://iknow-pic.cdn.bcebos.com/32fa828ba61ea8d3df37cc4b940a304e251f5863?x-bce-process=image/quality,q_85) π ![](https://iknow-pic.cdn.bcebos.com/35a85edf8db1cb137ad660a0de54564e93584bc1?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) . |
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