A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. A rectangular prism is a solid whose base is a rectangle. Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:
[tex]V=L\times W\times H[/tex]
FOR THE ORIGINAL PRISM WE HAVE THE FOLLOWING DIMENSIONS:
[tex]L=14cm \\ \\ W=6cm \\ \\ H=3cm[/tex]
In fact, the volume is [tex]252cm^3[/tex] because:
[tex]V=14\times 6\times 3 \therefore V=252cm^3[/tex]
Now the height of the prism was changed from 3 centimeters to 6 centimeters to create a new rectangular prism, therefore:
FOR THE NEW PRISM WE HAVE THE FOLLOWING DIMENSIONS:
[tex]L=14cm \\ \\ W=6cm \\ \\ H=6cm[/tex]
So the new volume is:
[tex]V=14\times 6\times 6 \therefore V=504cm^3[/tex]
Well, the volume has increased from [tex]252cm^3 \ to \ 504cm^3 [/tex] and since [tex]504=2\times 252[/tex] we can say that the new volume is two times the original volume.
