Question

find the volume of a prism which is based on a regular hexagon & of height 10cm. if total S.A. 156√3 sq.cm. ​

Answer 1

Answer:

The base is a regular hexagon. We can divide the base in to 6 equilateral triangles.

Each equilateral triangle has side a=4cm. Hence the area of the base is B=6×

4

3

×4

2

=24

3

.

This implies that V=B×h=24

3

×10=240

3

cm

3

.

Answer 2

The base is a regular hexagon. We can divide the base in to 6 equilateral triangles.

Each equilateral triangle has side a=4cm. Hence the area of the base is B=6×43×42=243.

This implies that V=B×h=243×10=2403cm3.

i hope this answer will be helpfull for youu