底面是菱形的直四棱柱中,体对角线长分别为9和15,高是5,求该直四楼柱的侧面积.(本题需自己作图并指明长度,无图不得分)
20-21高一下·黑龙江大庆·阶段练习 查看更多[2]
更新时间:2021-08-12 13:28:59
|
【知识点】 棱柱表面积的有关计算
相似题推荐
解答题-问答题
|
较易
(0.85)
【推荐1】已知三棱柱
的底面为直角三角形,两条直角边
和
的长分别为4和3,侧棱
的长为10.
(1)若侧棱
垂直于底面,求该三棱柱的表面积.
(2)若侧棱
与底面所成的角为
,求该三棱柱的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71f2185273bf04c11118c7954f7ec822.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6024fd4532f5f981deac4582c799a6ef.png)
![](https://img.xkw.com/dksih/QBM/2020/2/1/2389655221157888/2389690518790144/STEM/98426ca129af45eaa2fed5ad35c619e9.png?resizew=141)
(1)若侧棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6024fd4532f5f981deac4582c799a6ef.png)
(2)若侧棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6024fd4532f5f981deac4582c799a6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
您最近一年使用:0次
【推荐2】为了保护一件珍贵文物,博物馆需要用一个密封的玻璃罩罩住文物,玻璃罩的几何模型如图,上部分是正四棱锥
,下部分是正四棱柱
,正四棱柱的高
是正四棱锥的高
的
倍.
(1)若
,
,求玻璃罩的容积是多少升(玻璃厚度不计);
(2)若
,当
为多少时,下部分的正四棱柱侧面积最大,最大侧面积是多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724625d4f91f0e48712d6d143a6389b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae0a4f38420bb9215dbc9c875b755838.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32fb50c66cd2de786b39cb442ec54a16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533a7b702ada1dd80123e4041271d521.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/10/b0648ec6-3dee-4d06-90d7-70ffea599d47.png?resizew=156)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8378e2cc5603c8566292e62750a9df16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c666baee6f05870df997c079aea11ea7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57110ee5a5ab0b5ff6f6a01c1879f6ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32fb50c66cd2de786b39cb442ec54a16.png)
您最近一年使用:0次