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Home > GC > Chapter 9 > Lesson 9.1.5 > Problem 9-49


oblique prism with the following labels: top shaded rectangle, left edge is 7 inches, top edge is 13 inches, slanted right side back edge is 12 inches.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 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.

Two similar right triangles. The large triangle has a height of, h, and a hypotenuse of 12. The smaller triangle has a height of the square root of 3, a base of, 1, and a hypotenuse of 2.

Find the height of the parallelogram:

Find the volume: