如图,水平放置的正四棱台玻璃容器的高为
,两底面对角线
的长分别为
,水深为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/22/bb523adf-68cf-403e-aa3f-32f3586165d2.png?resizew=222)
(1)求正四棱台的体积;
(2)将一根
长的玻璃棒
放在容器中,
的一端置于点
处,另一端置于侧棱
上,求
没入水中部分的长度.(容器厚度,玻璃棒粗细均忽略不计)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5df73433f151b6016f23788ebd995ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5b744ad79a32193388220878d856bcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17ec9f6673dc3ef7ab61851783bf5d9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689ff84e2d7f52c7446ef789a54557da.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/22/bb523adf-68cf-403e-aa3f-32f3586165d2.png?resizew=222)
(1)求正四棱台的体积;
(2)将一根
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e57171806f407a98dd8a796d4d2d6bbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bf1bf3c5e344b6192208069f33811e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
21-22高二上·上海普陀·阶段练习 查看更多[5]
上海市曹杨第二中学2021-2022学年高二上学期12月月考数学试题(已下线)第14讲 简单几何体的表面积与体积-【寒假自学课】2022年高一数学寒假精品课(人教A版2019必修第二册)(已下线)8.3 简单几何体的表面积与体积云南昭通市第一中学2021-2022学年高一下学期奖学金考试数学试题(已下线)第09讲 空间几何体的结构与直观图(核心考点讲与练)(1)
更新时间:2021-12-20 19:31:03
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【推荐2】已知正四棱台(上、下底是正方形,上底面的中心在下底面的投影是下底面中心)上底面边长为6,高和下底面边长都是12,求它的侧面积.
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【推荐1】如图,在三棱柱
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名校
解题方法
【推荐2】扇形铁皮
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![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/ab3846cc-b244-4a23-94fa-312de962f2e2.png?resizew=130)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/260200d547998bcac50a4a491382e7f4.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
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