2019年沪教版五年级下册数学教案:《组合体的体积》

2019-09-23 16:43:00来源:网络

  在求组合体的体积时要先把组合体切割成几个基本形体,分别计算体积后再相加。因为我们只会计算长方体、正方体的体积,因此在切割时要切割成几个长方体或正方体。注意找到正确的尺寸。

  要注意什么?

  合理切割,找准尺寸。

  二、练习阶段:

  求下面各组合体的体积:(单位:厘米)

  (1)

  

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" width="400" height="217"/>

  方法:(1)

  

\

  我把这个组合体分割成了(1)、(2)两块。长方体(1)的长是5厘米,宽是7厘米,高是6厘米;长方体(2)的长是(8-5)厘米,宽是7厘米,高是(6-4)厘米。分别计算出各长方体的体积后再相加,就是这个组合体的体积了。

  解:V(1)=abh

  =5×7×6

  =35×6

  =210(立方厘米)

  V(2)=abh

  =(8-5)×7×(6-4)

  =3×7×2

  =21×2

  =42(立方厘米)

  V组=V(1)+V(2)

  =210+42

  =252(立方厘米)

  答:这个组合体的体积是252立方厘米。

  方法:(2)

  

\

  我把这个组合体分割成了(1)、(2)两块。长方体(1)的长是8厘米,宽是7厘米,高是(6-4)厘米;长方体(2)的长是5厘米,宽是7厘米,高4是厘米。分别计算出各长方体的体积后再相加,就是这个组合体的体积了。

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