A cube with volume 8 cubic centimeters is inscribed in a sphere so that each vertex of the cube touched the sphere.What
问题描述：
A cube with volume 8 cubic centimeters is inscribed in a sphere so that each vertex of the cube touched the sphere.What is the length of the diameter,in centimeters,of the sphere.
题目有点看不懂
答
体积为8立方厘米的正立方体内切于一个球体,使得立方体每个顶点内接于球面
球体的直径长度?以厘米为单位.
设正立方体边长为a
由于a^3=8
所以a=2
求出正立方体的对角线即可,它就是球体的直径
下面就是运用两次勾股定理,
底面的对角线为(√2)a
正方体的对角线为(√3)a=2√3 cm
√为根号,上面的一横无法显示.