Question

The diagram shows the top view of a right hexagonal prism that is 15 cm high. What is the volume of the prism?

8640 cm3

4320 cm3

3600 cm3

1440 cm3

Answer 1

the volume of the prism = base area times height of the prism
V = AHsince the base area is a hexagon, the area is made of 6 trianglesso the areaA = 6 (0.5 bh)
and the volume of the prism would be:
V = 6 ( 0.5 bh)HV = 6 ( 0.5 (8) (12)) ( 15)V = 4320 cubic cm