A hospital has a large tank with a dimension shown. The tank does not have a cover. What is the surface area of the fish tank.

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]NowSurface 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]