AMC 8 1990 Problem 17

AMC8 1990 年第 17 题

立体几何★★★☆☆
A straight concrete sidewalk is to be 3 feet wide, 60 feet long, and 3 inches thick. How many cubic yards of concrete must a contractor order for the sidewalk if concrete must be ordered in a whole number of cubic yards?
一条直的混凝土人行道宽 3 英尺、长 60 英尺、厚 3 英寸。如果混凝土必须按整立方码订购,承包商需要为这条人行道订购多少立方码混凝土?
  1. A.2
  2. B.5
  3. C.12
  4. D.20
  5. E.more than 20\text{more than 20} / 多于 20

正确答案 · Correct Answer

A

解析 · Solution

Solution 1

The sidewalk is 1 yard wide, 20 yards long, and 112\displaystyle \frac{1}{12} yard thick, so its volume is 1⋅20⋅112=123\displaystyle 1\cdot 20\cdot \frac{1}{12} = 1\frac{2}{3} cubic yards. So 2 cubic yards must be ordered.

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