Answer:
Volume of a right prism = 65 cubic inches
Its height is increased by a factor of 20.
To find:
The new volume of the prism if the other dimensions do not change.
Solution:
The volume of a prism is:
[tex]Volume=Bh[/tex]
Where, B is the base area and h is the height.
A right prism has a volume of 65 cubic inches.
[tex]65=Bh[/tex]
The height of prism is increased by a factor of 20. So, the new volume is:
[tex]Volume=B(20h)[/tex]
[tex]Volume=20(Bh)[/tex]
[tex]Volume=20(65)[/tex]
[tex]Volume=1300[/tex]
The volume of the new prism is 1300 in³.
Therefore, the correct option is B.
