Question

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 1

Surface area of the fish tank
`332\ square\ feet`

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
`(l)`,width
`(w)` and height
`(h)`.

Surface area of a cuboid
`=2(lw+wh+hl)`

But here we have to subtract the surface area of the cover,that is
`(lw)`.

So the equation for the surface area of the cuboid can be re-framed as
`2(wh+hl)+(lw)`

Plugging the values of
`h=8\ ft` and
`l=12\ ft` and
`w=5\ ft`

Now

Surface area of the tank:

`2(wh+hl)+(lw)`

`2(5* 8+8* 12)+(12* 5)`

`2(40+96)+(60)`

`2(136)+60`

`(272+60)=332\ ft^(2)`

So the surface area of the fish tank in the hospital is
`332\ ( ft)^(2)`