Maximum possible height of fish tank is 23.77 in .
Step-by-step explanation:
Here , we are given 100 gallons capacity fish tank , where 7.48 gallons is equivalent to 1 cubic foot of water . So, volume of fish tank = [tex]\frac{100}{7.48} = 13.37[/tex] [tex]foot^{3}[/tex] . Also, we know that volume of fish tank = length.width.height where,
[tex]Volume = 13.37foot^{3}\\Volume = 13.37(12 in)^{3}\\Volume = 13.37(1728)in^{3}\\Volume = 23103.36in^{3}[/tex]
Now , [tex]Volume = Length(width)height[/tex]
⇒ [tex]Volume = Length(width)height[/tex]
⇒ [tex]23103.36 = 54(18)height[/tex]
⇒ [tex]height = \frac{23103.36}{54(18)}[/tex]
⇒ [tex]height = 23.77in[/tex]
Therefore, maximum possible height of fish tank is 23.77 in .
