这道题怎么解?急what is the maximum number of rectangular blocks mea
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这道题怎么解?急
what is the maximum number of rectangular blocks measuring 3 inches by 2 inches by 1 inch that can be packed into a cube-shaped box interior measures 6 inches on an edge?这道题怎么解?
what is the maximum number of rectangular blocks measuring 3 inches by 2 inches by 1 inch that can be packed into a cube-shaped box interior measures 6 inches on an edge?这道题怎么解?
题目的意思是:变长6英寸的立方体盒子中最多能放多少个长为3英寸宽为2英寸高为1英寸的长方形?
显而易见,6为3、2、1的最小公倍数,所以在长方形的长方向排2个,宽方向排3个,高方向排6个,正好全部放下,一共是36个。
也可以直接用大立方体的体积除以小长方体的体积,得出结果也是36。而之所以能够这么做,也是由于6为3、2、1的最小公倍数。
显而易见,6为3、2、1的最小公倍数,所以在长方形的长方向排2个,宽方向排3个,高方向排6个,正好全部放下,一共是36个。
也可以直接用大立方体的体积除以小长方体的体积,得出结果也是36。而之所以能够这么做,也是由于6为3、2、1的最小公倍数。
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