Answer:
Surface area of the fish tank [tex]332\ square\ feet[/tex]
Step-by-step explanation:
We have to find the surface area of the hospital tank.
As mentioned it does not have a cover.
The tank is in cuboid shape as it has different length [tex](l)[/tex],width [tex](w)[/tex] and height [tex](h)[/tex].
Surface area of a cuboid [tex]=2(lw+wh+hl)[/tex]
But here we have to subtract the surface area of the cover,that is [tex](lw)[/tex].
So the equation for the surface area of the cuboid can be re-framed as [tex]2(wh+hl)+(lw)[/tex]
Plugging the values of [tex]h=8\ ft[/tex] and [tex]l=12\ ft[/tex] and [tex]w=5\ ft[/tex]
Now
Surface area of the tank:
[tex]2(wh+hl)+(lw)[/tex]
[tex]2(5\times 8+8\times 12)+(12\times 5)[/tex]
[tex]2(40+96)+(60)[/tex]
[tex]2(136)+60[/tex]
[tex](272+60)=332\ ft^{2}[/tex]
So the surface area of the fish tank in the hospital is [tex]332\ ( ft)^{2}[/tex]
