Answer to Question #315376 in Geometry for savannah

Question

The length of the base of a rectangular prism is twice its width. The perimeter of the base is 42 yards. If the volume of the prism is 980 cubic yards, find the height of the prism.

Answer 1

Width = x

Length = 2x

Perimeter = x + 2x + x + 2x = 42

6x = 42; x = 42/6

x = 7

Width = 7 yards

Length = 2*7 = 14 yards

Volume = whl = 980

7 * h * 14 = 980

98h = 980; h = 980/98

h = 10 yards