Elliot has a modern fish tank that is in the shape of an oblique rectangular prism, shown at right.

1. Calculate the volume of water the tank can hold.

   Hint (a):

   Use a special right triangle to find the height of the parallelogram.

   Step 1(a):

   Find the height of the parallelogram:

   linear scale factor $= 6$

   $h=6(1\sqrt{3})=6\sqrt{3}$

   Step 2 (a):

   Find the volume:

   $V = 7 \cdot 13 \cdot 6\sqrt{3} = 546\sqrt{3}$

   Answer (a):

   $\approx 945.7\: \text{in.}^3$

2. If Elliot has $25$ fish, how crowded are the fish? That is, what is the density of fish measured in number of fish per cubic inch?

   Hint (b):

   $\frac{\text{number of fish}}{\text{number of cubic inches}} =$

3. What is the density of fish in Elliot’s tank in fish per cubic foot?

   Hint (c):

   Use dimensional analysis to convert

   $\frac{\text{number of fish}}{\text{in}^3} \text{ into } \frac{\text{number of fish}}{\text{ft}^3}$