Let the height of prism be
H
.
As it is twice the width, width is
H
2
.
Length being
3
times width should be
3
×
H
2
=
3
H
2
Hence, volume is
3
H
2
×
H
×
H
2
=
3
4
H
3
, but it is
2058
cubic cm.
Therefore
3
4
H
3
=
2058
and
H
3
=
2058
×
4
3
=
686
2058
×
4
1
3
or
H
3
=
2
×
2
×
2
×
7
×
7
×
7
Hence
H
=
2
×
7
=
14
Height of the prism is
14
cm.
