Given:
The volume of the triangular prism = 27 cubic units
To find the volume of the prism if each side is dilated by
Formula
The volume of a triangular prism
where, a be the height of the triangle
c be the base of the triangle
h be the height of the prism
Let us take after dilation the we get,
and
So,
After dilation the volume will be
or,
or, [Since,
]
or,
Hence,
After dilation the volume of the prism will be 3 cubic unit.