Mathematical problems / volume / ship shape (数学问题/材积/船的形状)

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Mathematical problems / volume / ship shape

The grandson who was in elementary school yesterday asked me,
When using wood to build a ship,
What type of boat is the most buoyant and the most material-saving?

  1. Rectangle (rectangular)
  2. square
  3. round
  4. 3 angles

I was thinking,
Aren't the ships all rectangular?

I listed the formula

Take the rectangle as an example:
Surface area = wood usage = 2 * (length * width) + (length + width) * 2 * height
Buoyancy to which the ship is subjected = volume of discharged water = length * width * height

Can be seen from the calculation table
round boat is most cost-effective

For rectangular (rectangular) ships, the larger the aspect ratio, the more consumables

So the answer is 3

数学问题/材积/船的形状

昨天读小学的孙子问我,
使用木头来造船的时候,
哪种形状的船,浮力最大又最省材料?
1)长方形(矩形)
2)正方形
3)圆形
4)3角形

当时我想着,
船不就都是长方形的吗?

我把公式列了出来

以长方形(矩形)為例 :
表面积=木材使用量= 2 (长宽)+(长+宽)* 2 高
船所受到的浮力=排开水的体积=长
宽*高

从计算表中可看出,
圆形船算划算,
再来是方形船较为划算.

长方形(矩形)的船, 當其长宽比越大,耗材越多

所以答案是3

Mathematical problems / volume / ship shape (数学问题/材积/船的形状) | Ecency