AMC8 2019

AMC8 2019 · Q12

AMC8 2019 · Q12. It mainly tests Geometry misc, Logic puzzles.

The faces of a cube are painted in six different colors: red $(R)$, white $(W)$, green $(G)$, brown $(B)$, aqua $(A)$, and purple $(P)$. Three views of the cube are shown below. What is the color of the face opposite the aqua face?

一个立方体的各个面涂有六种不同的颜色：红$(R)$、白$(W)$、绿$(G)$、棕$(B)$、水蓝$(A)$和紫$(P)$。下面展示了立方体的三个视图。水蓝面对面的颜色是什么？

(A) red red

(B) white white

(D) brown brown

(E) purple purple

Answer

Correct choice: (A)

正确答案：（A）

Solution

$B$ is on the top, and $R$ is on the side, and $G$ is on the right side. That means that (image $2$) $W$ is on the left side. From the third image, you know that $P$ must be on the bottom since $G$ is sideways. That leaves us with the back, so the back must be $A$. The front is opposite of the back, so the answer is $\boxed{\textbf{(A)}\ R}$.

$B$在顶部，$R$在侧面，$G$在右侧。这意味着（图像2）$W$在左侧。从第三个图像可知，$P$必须在底部，因为$G$是横着的。这剩下背面，所以背面一定是$A$。正面与背面相对，因此答案是$\boxed{\textbf{(A)}\ R}$。

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