Question

I need help badly... consider the rectangular prism with a length 3 cm, width 6 cm, and height 10 cm. If one of the dimensions is tripled what will happen to the volume? Justify your response.

Answer 1

tripled
original volume 3*6*10=180
when one is tripled 3(3) * 6*10 = 3*3*6*10=180*3
it doesnt matter which is tripled

Answer 2

Volume becomes 3 times of original volume .

Explanation:

Length of rectangular prism = 3 cm

Width of rectangular prism = 6 cm

Height of rectangular prism = 10 cm

Volume of rectangular prism =
`Length * Breadth * Height`

=
`3 * 6 * 10`

=
`180 cm^3`

Now one of the dimensions is tripled i.e. one of the dimensions becomes 3 times

So, Volume of rectangular prism =
`3 * 3 * 6 * 10`

=
`3(180)`

=
`540 cm^3`

Hence one of the dimensions is tripled Volume becomes 3 times of original volume .