Question

Two rectangular prisms have the same volume. The area of the base of the blue prism is 216 square units. The area of the base of the red prism is one third that of the blue prism. Which statement is true?
a) The height of the red prism is one-third the height of the blue prism.

b) The height of the red prism is the same as the height of the blue prism.


c) The height of the red prism is six times the height of the blue prism.


d) The height of the red prism is three times the height of the blue prism.

Answer 1

V = B*h

Let hb represent the height of the blue prism; let hr represent the height of the red prism.

216*hb = V = (1/3)*(216)*hr
3*hb = hr . . . . . . . . . . . . . . . divide by the coefficient of hr

The 4th selection is appropriate.