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
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![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](/uploads/image/z/4886525-29-5.jpg?t=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%2Cin+centimeters%2Cof+the+sphere.%E9%A2%98%E7%9B%AE%E6%9C%89%E7%82%B9%E7%9C%8B%E4%B8%8D%E6%87%82)
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
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
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
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.
正方形体积为8
则边长为2
正方形正好在球内
所以球的直径为斜对角线2倍根号3
望采纳
范德萨的广东省