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Home > CCG > Chapter 9 > Lesson 9.1.5 > Problem 9-57

9-57.

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

prism, 13 by 12 by 7 inches, makes a  60 degree angle with the flat surface on which the prism is placed

  1. If the slant of the prism makes a  angle with the flat surface on which the prism is placed, find the volume of water the tank can hold. Assume that each base is a rectangle

    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:

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

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