Answer:
See attached table
Step-by-step explanation:
Given base b,
the required formulas are:
Area of base = b^2
height: solve for h in 2b^2+4*bh = S =54
where S is the surface of 54
Substitute and solve for h,
h = (S - 2b^2)/(4b) = (54-2b^2)/(4b) = (27-b^2)/(2b)
The volume is equal to base area times height, or
V = b^2(h)
The completed table is attached.
