# Thread: a right hexagonal prism

1. ## a right hexagonal prism

i have a right hexagonal prism
and i need to find the SA and the volume for it
what formula do i use?
a regualr prism formula?
thanks
my test is tomorrow in the morning

2. Originally Posted by shilo
i have a right hexagonal prism
and i need to find the SA and the volume for it
what formula do i use?
a regualr prism formula?
thanks
my test is tomorrow in the morning

The Volume is the area of the base multiplied by the height

$\displaystyle V=A_{base} \cdot h$

The area of a Regular hexagon(all sides and angles equal) with side length l is $\displaystyle A=\frac{3\sqrt{3}}{2}l^2$

The surface area is given by the formula

$\displaystyle S=2A_{base}+6lh$

where l is the side length of the hexagon and h is the height.

I hope this helps

Good luck.

3. Hello, shilo!

i have a right hexagonal prism,
and i need to find the SA and the volume for it.
what formula do i use?
I assume your exam will not include such a sloppy question . . .
Code:
         * - *
*    A    *
|  * - *  |
|  |   |  |
|  |   |  | h
|  |   |  |
|  |   |  |
*  |   |  *
* - *

We know nothing about the hexagon.
We must be given its perimeter $\displaystyle P$, and its area $\displaystyle A.$
. . (or be given enough information so we can find $\displaystyle P$ and $\displaystyle A$.)

The height $\displaystyle h$ is perpendicular to the two hexagonal bases.

The surface area consists of the top and bottom: .$\displaystyle 2A$
. . and the lateral area: .$\displaystyle Ph$

Therefore, the total surface area is: .$\displaystyle \boxed{ SA \:=\:2A + Ph}$

The volume is (area of base) × (height): .$\displaystyle \boxed{V \:=\:Ah}$