Respuesta :

Answer:

Step-by-step 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 :

[tex]Volume = l*w*h[/tex]

Where l is length of base

w is width of base

h is height of prism

So,  [tex]2400=l*w*h[/tex]

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 :

[tex]2400=20*20*6[/tex]

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

Our second factor would be :

[tex]2400=40*30*2[/tex]

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 :)


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