AMC8 2002

AMC8 2002 · Q22

AMC8 2002 · Q22. It mainly tests 3D geometry (surface area).

Six cubes, each an inch on an edge, are fastened together, as shown. Find the total surface area in square inches. Include the top, bottom and sides.

六个每个边长一英寸的立方体被粘在一起，如图所示。求总表面积（平方英寸）。包括顶部、底部和侧面。

(A) 18 18

(B) 24 24

(D) 30 30

(E) 36 36

Answer

Correct choice: (C)

正确答案：（C）

Solution

(C) When viewed from the top and bottom, there are 4 faces exposed; from the left and right sides, there are 4 faces exposed and from the front and back, there are 5 faces exposed. The total is $4 + 4 + 4 + 4 + 5 + 5 = 26$ exposed faces.

（C）从上面和下面看，有 4 个面暴露；从左侧和右侧看，有 4 个面暴露；从前面和后面看，有 5 个面暴露。总数为 $4 + 4 + 4 + 4 + 5 + 5 = 26$ 个暴露的面。

Topics

GE.014 3D geometry (surface area)