## A rectangular prism has a volume of 19 cm if the length of the prism is tripled and the other dimensions stay the same what is the volume of

Question

A rectangular prism has a volume of 19 cm if the length of the prism is tripled and the other dimensions stay the same what is the volume of the new prism

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3 weeks 2021-09-09T18:00:19+00:00 2 Answers 0

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

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