Question

sat2数学求解

a plane cuts through a cube in such a way that the plane passes through three of the cube's vertices, no two of which lie on the same edge. if the edge of the cube has a length of 1, what is the surface area of the smaller fragment of the cube?
a, 2.4
b 2.7
c 3.1
d 3.7
e 4.3
求过程

Answer 1

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很明显三个顶点不共面则切面是正三角形租中，
较小的部分是一个四面体，三个面为等腰直角三角形，面积为1/2，
另一个面试正三角形，边长√2，面积祥族√3/2
总面积3*1/2+√3/2=2.366
选A