Question

Javier has a fish tank shaped like the rectangular prism shown.The fish tank is made of glass, except for the top which is covered by a plastic lid.Find the surfaces of the fish tank.

Answer 1

The length of the prism, l=32 in.

The width of the prism, w=12.75 in.

The height of the prism, h=19 in.

The total area of the prism is,

`\begin{gathered} A=2(lw+lh+hw) \\ A=2*(32*12.75+32*19+19*12.75) \\ A=2516.5ft^2 \end{gathered}`

Since the top is covered by plastic lid, the surface area of the glass portion is,

`\begin{gathered} a=A-lw \\ a=2516.5-32*12.75 \\ a=2108.5ft^2 \end{gathered}`

Therefore, the area of the glass portion is 2108.5 square feet.