AMC 8 2012 Problem 21

AMC8 2012 年第 21

立体几何★★★☆☆
Marla has a large white cube that has an edge of 10 feet. She also has enough green paint to cover 300 square feet. Marla uses all the paint to create a white square centered on each face, surrounded by a green border. What is the area of one of the white squares, in square feet?
有一个边长为 10 英尺的大的白色正方体。她同时还有能够粉刷 300 平方英尺的绿漆。 Marla 使用了全部的绿漆,将白色正方体涂成了这样的一个正方体:正方体的每个面的中央都有一个白色正方形,四周被绿边围绕。那么其中一个面上的白色正方形的面积是多少平方英尺?
  1. A.52\hspace{.05in}5\sqrt2
  2. B.10\hspace{.05in}10
  3. C.102\hspace{.05in}10\sqrt2
  4. D.50\hspace{.05in}50
  5. E.502\hspace{.05in}50\sqrt2

正确答案 · Correct Answer

D

解析 · Solution

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