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【题目】如图1所示,一位木工师傅有一块30cm×14cm×10cm的长方体木块,现在他要锯去尽可能多的棱长为3cm小正方体木块,最多可以锯下多少个?剩下木块的表面积是多少?【思考与解答】第一个问题看上去比较简单,求锯下多少个小正方体木块,不少同学很快就会想到用长方体木块的体积除以小正方体木块的体积。实际情况并非如此,原因是:在长方体木块的长、宽、高(30cm×14cm×10cm)中,只有长30cm是小正方体棱
[Topic] As shown in Figure 1, a carpenter has a cuboid block of 30cm × 14cm × 10cm. Now he wants to saw as many cubes as possible with 3cm small prism. How many can he saw? What is the surface area of the remaining pieces of wood? [Thinking and Answers] The first question looks relatively simple, and saw how many small square wooden sawing, many students will soon think of the volume of cuboid divided by the small Square cube of the volume. The actual situation is not the case, because: rectangular block length, width, height (30cm × 14cm × 10cm), only 30cm long is a small cube prism