### Home > GC > Chapter 9 > Lesson 9.1.5 > Problem9-49

9-49.

Elliot has a modern fish tank that is in the shape of an oblique prism, shown at right. If the slant of the prism makes a $60°$ angle, find the volume of water the tank can hold. Assume all measurements are in inches.

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

Find the height of the parallelogram:

$\text{linear scale factor}=6$

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

Find the volume:

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

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