Answer:
The base and height of the solid is 5.5cm
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Step-by-step explanation:
Given

Required
Determine the dimensions that maximizes the volume
Let the base dimension be x and the height be h
The volume is calculated as:


181.5 =x^2h
The surface area (S) is calculated as this:



Substitute 181.5 for S

Make h the subject:


Substitute
in 





To get the maximum, we differentiate V with respect to t and set the differentiation to 0

Set to 0


Multiply through by 4







Recall that:





So, we have:


<em>Hence, the base and height of the solid is 5.5cm</em>
we need to multiply : 1/5*3/4 multiply 1 by 3 on the tops so we have 3/5*4 5*4=3/20
379 * 8 = 3032
3032 lies between 3031 and 3033
1.31 + 1.23 = 2.54
2.54 + 1.23 = 3.77
So, keeping that up,
3.77 + 1.23 = 5