Answer:
The volume of the new prism is three times the volume of the old prism
Step-by-step explanation:
To carry out this problem we have to invent 3 variables that represent length, width and height
w = width
h = height
l = length = 19cm
Now we have to do the equation that represents the calculation of the volume of the prism
v = w * h * l
v = w * h * 19
v = 19hw
assuming the length is tripled
v = w * h * 3l
v = w * h * 3 * 19
v = 57wh
To know the volume of the new prism with respect to the previous one, we simply divide the volume of the new prism by the previous one.
57hw / 19hw = 3
The volume of the new prism is three times the volume of the old prism