Question

the rectangular prism shown has a volume of 72m cubed. the prism is enlarged using a scale factor of 3. what is the volume of the enlarged prism

Answer 1

216 should be your answer :)

Answer 2

Alright, lets get started.

Suppose the dimensions of the prism is :

base length = l

base width = w

height = h

So, the volume of the prism will be =
`l*w*h`

And this volume will be equal to 72 as given in question , so

`l*w*h = 72`

Now, when the prism is enlarged using a scale factor of 3, new dimensions will be

base length = 3l

base width = 3w

height = 3h

So the volume will be =
`3l*3w*3h = 27 l*w*h`

Putting the value of
`l*w*h` as 72

So, new volume will be =
`27 * 72 = 1944` cubic meter : Answer

Hope it will help :)