Area vs. volume-using a boat as an example / 面积和体积的关系 - 使用船来做为例子

Area vs. volume-using a boat as an example

some days ago
Grandson at elementary school
His teacher
Use boats to explain area and volume

I think this is a good teacher
Great teaching method
If you use rectangle / square / circle / triangle directly,
Use mathematical formulas to teach
Teach area / volume algorithms directly
It's hard to get kids interested

So this teacher used a boat to explain
Also teach everyone the origami boat
If I give the teacher a Evaluation now
I will give this teacher 80 points
Because he ’s not teaching rigid mathematical formulas
He use a case example

With the same volume,
That is, if the buoyancy of the ship is the same,
The size of the surface area is as follows,
the amount of wood used.

Rectangle (the larger the aspect ratio, the more consumables)> triangle> square> circle.

As shown below
Triangular and rectangular ships, when the buoyancy is the same (the volume is the same),
The triangular surface has a greater total surface area, so it is more consumable.
Because the hypotenuse of the triangle> the long side of the rectangle.

You can refer to my other a article
Mathematical problems / volume / ship shape

面积和体积的关系 - 使用船来做为例子

前几天
在读小学的孙子
他的老师
用船来解释面积和体积

我觉得这是一位不错的老师
非常棒的教学方法
如果你直接使用矩形/正方形/圆形/三角形,
用数学公式来教导
直接教导这些东西的面积/体积之算法
是很难引起小孩子的兴趣的

所以这位老师用船来解释
还教大家折纸船
如果现在给予老师评鉴的话
我会给这位老师80分
因为他不是死板的数学公式的教法
他采用了案例

在相同体积的情况之下,
也就是船的浮力是相同的话,
表面积的大小如下,
即使用的木材量之多寡.

矩形(长宽比越大,越耗材)>三角形>正方形>圆形.

如下图所示
三角形的船和矩形的船, 当浮力相同之时(体积相同),
三角形的表面机会较大, 所以比较耗材.
因为三角形的斜边>矩形的长边.

尚可参考我的这篇文章
数学问题/材积/船的形状