
The dimensions of rectangular cake are 11 inches x 7 inches x 6 inches.. The cake is to be wrapped in a sheet of aluminum foil so that the entire surface of the cake is covered. If the aluminum foil must remain in one untorn sheet, which of the following could be the dimensions of the sheet of aluminum foil?
注意,每个选项中纸的尺寸都不同,即没有两个选项的长或宽数值相同。我们可以利用这一点。
让我们聚焦于纸如何包裹蛋糕: 想象从点D开始折叠纸张→移动到点A→移动到点B→移动到点C→回到点D。
经过的长度= D到A → A到B → B到C → C到D = AD + AB + BC + CD = 6 + 7 + 6 + 7 = 14 + 12 = 26(英寸)
因此,纸的一个维度必须是26英寸。
从现有选项中,只有**选项B**的纸的一边长度为26英寸。