Answer:
28cm*28cm*14cm
Explanation:
Five side box for cardboard are: xy, 2xz and 2yz
so the function of Area will be:
equation 1
The Volume will be:
equation 2
we can make z the subject of the formula by divide both side by xy
now z =
equation 3
To eliminate z, substitute z into equation 1
f(x,y)=xy+2x
+2y
f(x,y)=xy+
+

Now we have to derivative of x and y


for y and x

substitute y into x
![x=21952(21952x^(-2) )^(-2) \\x=(21952)^(-1) x^(4) \\ x^(3) =21952\\cube-root-both side\\x=\sqrt[3]{21952} \\x=28](https://img.qammunity.org/2021/formulas/mathematics/college/5nxwuaoxcdpe7hrd26vepvvp1zi7hoaha1.png)
to find y

to find z

z=


so The dimensions are 28cm*28cm*14cm