A rectangular prism has a high of 3 inches and a volume of 27 in³. the height of the prism is changed to 6 inches and the other dimension stay the same. what is the volume of the prism with this change?

Answer 1

since the change is in only one of the dimensions, the change of the volume must be linear.
height was tripled, so the volume is doubled or
new volume is 54 in^3

or
old volume = 3(l)(w) = 3lw = 27
lw = 9

new volume = 6(l)(w) = 6lw = 6(9) = 54