### Home > PC3 > Chapter 3 > Lesson 3.1.2 > Problem 3-33

3-33.

A trough is in the shape of an equilateral triangular prism, as shown in the diagram at right. The length of the trough is

Write an equation for the height of the equilateral triangle in terms of

.Draw and label the triangle with information you know. Use the Pythagorean Theorem to solve for the height.

Write an equation for the volume

of the trough in terms of.(area of the triangle)(length of the trough) If the trough can hold

of water, how deep is the trough? Solve

.