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如何包装最合理

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如何包装最合理 兴化市楚水小学  於以华 生活中常需要到商店里去买东西，东西多了营业员就要给你包装起来。那如何包装最合理呢？ 先来看一道题目： 一包香烟的形状是长方形，它的长9厘米，宽5厘米 ，高2厘米。把10包香烟包装在一起形成一个大长方体，称为一条。可以怎样包装？算一算需要多少包装纸（包装纸的重叠部分忽略不计）？你认为哪一种包装方案比较合理？ <shapetype><stroke joinstyle="miter"></stroke><formulas><f eqn="if lineDrawn pixelLineWidth 0"></f><f eqn="sum @0 1 0"></f><f eqn="sum 0 0 @1"></f><f eqn="prod @2 1 2"></f><f eqn="prod @3 21600 pixelWidth"></f><f eqn="prod @3 21600 pixelHeight"></f><f eqn="sum @0 0 1"></f><f eqn="prod @6 1 2"></f><f eqn="prod @7 21600 pixelWidth"></f><f eqn="sum @8 21600 0"></f><f eqn="prod @7 21600 pixelHeight"></f><f eqn="sum @10 21600 0"></f></formulas><path o:connecttype="rect" gradientshapeok="t" o:extrusionok="f"></path><lock aspectratio="t" v:ext="edit"></lock></shapetype><shape 2; POSITION: absolute; TEXT-ALIGN: left; MARGIN-TOP: 473.35pt; WIDTH: 380.25pt; HEIGHT: 156.55pt; MARGIN-LEFT: 66.55pt; LEFT: 0px; mso-wrap-distance-left: 8.5pt; mso-wrap-distance-top: 8.5pt; mso-wrap-distance-right: 8.5pt; mso-wrap-distance-bottom: 8.5pt; mso-position-horizontal-relative: page; mso-position-vertical-relative: page"><fill type="frame"></fill><imagedata o:title="" src="></imagedata><wrap type="square" anchory="page" anchorx="page" side="largest"></wrap></shape>10包香烟包装成一条，是一个长方体的形状。我们可以分类排出各种包装方案，然后利用长方体的表面积计算公式，算出每种包装方案所使用的包装纸的面积。因为10＝10×1×1或10＝2×5×1，所以可以有两类包装法。 “10×1×1”的类型有以下三种包装法。每个图的下面分别标出了每种包装法包装后所形成的长方体的长、宽、高和表面积（所需包装纸）的大小。  <shape 1; POSITION: absolute; TEXT-ALIGN: left; MARGIN-TOP: 94.1pt; WIDTH: 404.15pt; HEIGHT: 164.25pt; MARGIN-LEFT: 63.45pt; LEFT: 0px; mso-wrap-distance-left: 8.5pt; mso-wrap-distance-top: 8.5pt; mso-wrap-distance-right: 8.5pt; mso-wrap-distance-bottom: 8.5pt; mso-position-horizontal-relative: page; mso-position-vertical-relative: page"><fill type="frame"></fill><imagedata o:title="" src="></imagedata><wrap type="square" anchory="page" anchorx="page" side="largest"></wrap></shape>“5×2×1”的类型，共有以下六种包装法。 根据上面的分析，我们可以看出包装10包香烟共有九种不同的包装方法。从使用包装纸的大小来看，560平方厘米的包装方案是用纸最少的，1136平方厘米的包装方案是用纸最多的。仔细观察包装后所形成的长方体的形状（主要是它们的长、宽、高），通过比较我们不难发现有以下规律：一个长方体的体积一定时，当长、宽、高的差越小时，它的表面积（也就是包装纸的大小）越小，相等时（此时为正方体）则达到最小；当长、宽、高的差越大时，它的表面积（也就是包装纸的大小）越大。 当然，由于考虑包装的广告效应和携带方便，香烟的实际包装并没有完全从包装纸的大小出发，而是采用了“5×2×1”的包装类型（即上图中表面积是722平方厘米的包装方法）。但生活中的许多包装问题我们应从节约能源的角度来考虑包装的合理性，即包装后的物体越接近正方体（也就是长、宽、高的差越小）所消耗的包装纸张越少。

方仁055 发表于：2011-4-28 16:38:39

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