Problema Solution
The volume of a rectangular prism is 216 cubic centimeters. The length of the prism is two thirds the height of the prism. If the width is 9 centimeters, find the length and height
Answer provided by our tutors
let
l = the length of the prism, l>0
w = 9 cm the width of the prism
h = the height of the prism, h>0
V = 216 cm^3 is the volume of the prism
the length of the prism is two thirds the height of the prism
l = (2/3)h
the volume V = w*l*h
9*l*h = 216
plug l = (2/3)h into the last equation
9(2/3)h*h = 216
by solving we find
h = 6 cm
click here to see the step by step solution of the equation
l = (2/3)*6
l = 4 cm
the length is 4 cm.
the height is 6 cm.