Find the volume of a regular hexagonal prism with the height of 22 apothem of 16 and a side length of 8

8778 cubic units
8558 cubic units
8448 cubic units
8668 cubic units

Step-by-step explanation:

The volume of a prism is given by:

where is the area of the base, and  is the height of thr prism.

We know that the height is:

u

and the bases of this prism are hexagons.

Thus the area of the base is the area of a regular hexagon:

where is the number of sides: for an hexagon:

is the length of each side: u,

and is the apothem:

we substitute all of this to find the area of the base:

and finally we use the formula for the volume:

we get the following:

which is the third option

what graph

step-by-step explanation:

she will sew have sewn five dresses   and be 1/3 done with the sixth one in an hour.

step-by-step explanation:

3/4 of an hour=45 mins

lucy makes 1 dress per 11.25 minutes

45 mins+11.25 mins=56.25 mins

60 mins- 56.25 mins=3.75 mins

3.75 mins is 1/3 of of 11.25 mins

therefore she the other 1/3 would be part of the hour and she will have sewn 5 dresses and begun the sixth.

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