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jaelynnm
09.02.2021 •
Mathematics
Who else is hella bored rn???
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Ответ:
M im hella bored
Step-by-step explanation:
Ответ:
The dimension of box=![2ft\times 2ft\times 1ft](/tpl/images/1043/6370/bed90.png)
Step-by-step explanation:
We are given that
Volume of box=4 cubic feet
Let x be the side of square base and h be the height of box
Volume of box=![lbh=x^2h](/tpl/images/1043/6370/127c8.png)
Now, surface area of box,A=![x^2+4xh](/tpl/images/1043/6370/d0fbb.png)
Substitute x=2
Hence, the area of box is minimum at x=2
Therefore, side of square base,x=2 ft
Height of box,h=![\frac{4}{2^2}=1 ft](/tpl/images/1043/6370/89199.png)
Hence, the dimension of box=![2ft\times 2ft\times 1ft](/tpl/images/1043/6370/bed90.png)