Aright square prism has a volume of 360 cubic units.
which could be the dimensions, in units, of the prism? select three options.
3 by 3 by 40
4 by 4 by 20
5 by 5 by 14
2.5 by 12 by 12
3.6 by 10 by 10

The answer is 3 by 3 by 40, 3,60*10*10 and 2.5*12*12

Step-by-step explanation:

We need to express the whole volume in prime factors

360=36*10=9*4*10. From the given answer we can see that 3*3*40 is the best choice, there are others...

The second is 36*10, which can also be written as 3,60*10*10

The third one comes from 9*4*10,wich can also be written as 12*12*2.5

First Option  3 by 3 by 40

Fourth Option  2.5 by 12 by 12

Fifth Option     3.6 by 10 by 10

Step-by-step explanation:

The volume of a straight prism is given by the following formula:

Where

w is the width

L is the length

h is the height

In this case we have a  right square prism. This means that

Therefore the volume will be:

The prism will have two sides of equal length and the product of those sides must be equal to 360 cubic units

If we decompose 360 into its prime factors we get:

Rewriting the terms we have

Observe that:            →   First Option

                              →   Fourth Option

                                →   Fifth Option

step-by-step explanation:

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