Question

Describe the dimensions of two different prisms that each have a volume of 2400 cubic centimeters using work

Answer 1

Explanation:

Alright, lets get started.

We have given the volume of a prism that is 2400 cubic centimeters.

we have not given which type of prism it is, so we are taking it as a rectangular prism.

The formula of volume of rectangular prism is :

`Volume = l*w*h`

Where l is length of base

w is width of base

h is height of prism

So,
`2400=l*w*h`

So, if we factor 2400 in two different manners, we could have two different dimensions of this prism having same volume that is 2400.

So, our first factor would be :

`2400=20*20*6`

Means the prism has base of 20 and 20 centimeters and height of 6 centimeters.

Our second factor would be :

`2400=40*30*2`

Means the prism has base of lenght 40 and width 30 and its height is 2 centimeters.

Hence we have two dimensions of prism, 20 20 6 and another one is 40 30 2. : Answer

Hope it will help :)