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
Answer:
Step-by-step explanation:
The formula for determining the volume of a rectangular prism is expressed as
Volume = length × width × height
The volume of the original prism is 19 squared cm. Therefore, the height of the original prism is
H = 19/LW
if the length of the prism is tripled and the other dimensions stay the same, the height of the new prism would be 3H, the volume of the new prism would be
19 × 3 = 57 squared cm
