In order to find the surface area, you will need to add up the areas of each face of the prism.

This hexagonal prism has two regular hexagons as its bases.

Recall how to find the area of a regular hexagon:

$\displaystyle \text{Area of Regular Hexagon}=\frac{3\sqrt3}{2}(\text{side}^2)$

Now, since we have two hexagons, we can multiply the area by $\displaystyle 2$ to get the area of both bases.

$\displaystyle \text{Area of Bases}=3\sqrt3(\text{side})^2$

Next, this prism has $\displaystyle 6$ rectangles that make up its sides.

Recall how to find the area of a rectangle:

$\displaystyle \text{Area of Rectangle}=\text{length}\times\text{width}$

In this prism, the length is also the side of the hexagon, and the width of the rectangle is the height of the prism.

Now, multiply the area of the rectangle by $\displaystyle 6$ to find the total area of all of the sides of the prism.

$\displaystyle \text{Area of Prism Sides}=6(\text{side})(\text{height})$

Add together the area of the sides and of the bases to find the surface area of the prism.

$\displaystyle \text{Surface Area of Prism}=\text{Area of Bases}+\text{Area of Sides}$

$\displaystyle \text{Surface Area of Prism}=3\sqrt3(\text{side})^2+6(\text{side})(\text{height})$

Plug in the given values to find the surface area of the prism.

$\displaystyle \text{Surface Area of Prism}=3\sqrt3(5)^2+6(5)(10)=429.90$

Make sure to round to $\displaystyle 2$ places after the decimal.

In order to find the surface area, you will need to add up the areas of each face of the prism.

This hexagonal prism has two regular hexagons as its bases.

Recall how to find the area of a regular hexagon:

$\displaystyle \text{Area of Regular Hexagon}=\frac{3\sqrt3}{2}(\text{side}^2)$

Now, since we have two hexagons, we can multiply the area by $\displaystyle 2$ to get the area of both bases.

$\displaystyle \text{Area of Bases}=3\sqrt3(\text{side})^2$

Next, this prism has $\displaystyle 6$ rectangles that make up its sides.

Recall how to find the area of a rectangle:

$\displaystyle \text{Area of Rectangle}=\text{length}\times\text{width}$

In this prism, the length is also the side of the hexagon, and the width of the rectangle is the height of the prism.

Now, multiply the area of the rectangle by $\displaystyle 6$ to find the total area of all of the sides of the prism.

$\displaystyle \text{Area of Prism Sides}=6(\text{side})(\text{height})$

Add together the area of the sides and of the bases to find the surface area of the prism.

$\displaystyle \text{Surface Area of Prism}=\text{Area of Bases}+\text{Area of Sides}$

$\displaystyle \text{Surface Area of Prism}=3\sqrt3(\text{side})^2+6(\text{side})(\text{height})$

Plug in the given values to find the surface area of the prism.

$\displaystyle \text{Surface Area of Prism}=3\sqrt3(7)^2+6(7)(14)=842.61$

Make sure to round to $\displaystyle 2$ places after the decimal.

In order to find the surface area, you will need to add up the areas of each face of the prism.

This hexagonal prism has two regular hexagons as its bases.

Recall how to find the area of a regular hexagon:

$\displaystyle \text{Area of Regular Hexagon}=\frac{3\sqrt3}{2}(\text{side}^2)$

Now, since we have two hexagons, we can multiply the area by $\displaystyle 2$ to get the area of both bases.

$\displaystyle \text{Area of Bases}=3\sqrt3(\text{side})^2$

Next, this prism has $\displaystyle 6$ rectangles that make up its sides.

Recall how to find the area of a rectangle:

$\displaystyle \text{Area of Rectangle}=\text{length}\times\text{width}$

In this prism, the length is also the side of the hexagon, and the width of the rectangle is the height of the prism.

Now, multiply the area of the rectangle by $\displaystyle 6$ to find the total area of all of the sides of the prism.

$\displaystyle \text{Area of Prism Sides}=6(\text{side})(\text{height})$

Add together the area of the sides and of the bases to find the surface area of the prism.

$\displaystyle \text{Surface Area of Prism}=\text{Area of Bases}+\text{Area of Sides}$

$\displaystyle \text{Surface Area of Prism}=3\sqrt3(\text{side})^2+6(\text{side})(\text{height})$

Plug in the given values to find the surface area of the prism.

$\displaystyle \text{Surface Area of Prism}=3\sqrt3(12)^2+6(12)(15)=1828.25$

Make sure to round to $\displaystyle 2$ places after the decimal.

In order to find the surface area, you will need to add up the areas of each face of the prism.

This hexagonal prism has two regular hexagons as its bases.

Recall how to find the area of a regular hexagon:

$\displaystyle \text{Area of Regular Hexagon}=\frac{3\sqrt3}{2}(\text{side}^2)$

Now, since we have two hexagons, we can multiply the area by $\displaystyle 2$ to get the area of both bases.

$\displaystyle \text{Area of Bases}=3\sqrt3(\text{side})^2$

Next, this prism has $\displaystyle 6$ rectangles that make up its sides.

Recall how to find the area of a rectangle:

$\displaystyle \text{Area of Rectangle}=\text{length}\times\text{width}$

In this prism, the length is also the side of the hexagon, and the width of the rectangle is the height of the prism.

Now, multiply the area of the rectangle by $\displaystyle 6$ to find the total area of all of the sides of the prism.

$\displaystyle \text{Area of Prism Sides}=6(\text{side})(\text{height})$

Add together the area of the sides and of the bases to find the surface area of the prism.

$\displaystyle \text{Surface Area of Prism}=\text{Area of Bases}+\text{Area of Sides}$

$\displaystyle \text{Surface Area of Prism}=3\sqrt3(\text{side})^2+6(\text{side})(\text{height})$

Plug in the given values to find the surface area of the prism.

$\displaystyle \text{Surface Area of Prism}=3\sqrt3(13)^2+6(13)(17)=2204.15$

Make sure to round to $\displaystyle 2$ places after the decimal.

In order to find the surface area, you will need to add up the areas of each face of the prism.

This hexagonal prism has two regular hexagons as its bases.

Recall how to find the area of a regular hexagon:

$\displaystyle \text{Area of Regular Hexagon}=\frac{3\sqrt3}{2}(\text{side}^2)$

Now, since we have two hexagons, we can multiply the area by $\displaystyle 2$ to get the area of both bases.

$\displaystyle \text{Area of Bases}=3\sqrt3(\text{side})^2$

Next, this prism has $\displaystyle 6$ rectangles that make up its sides.

Recall how to find the area of a rectangle:

$\displaystyle \text{Area of Rectangle}=\text{length}\times\text{width}$

In this prism, the length is also the side of the hexagon, and the width of the rectangle is the height of the prism.

Now, multiply the area of the rectangle by $\displaystyle 6$ to find the total area of all of the sides of the prism.

$\displaystyle \text{Area of Prism Sides}=6(\text{side})(\text{height})$

Add together the area of the sides and of the bases to find the surface area of the prism.

$\displaystyle \text{Surface Area of Prism}=\text{Area of Bases}+\text{Area of Sides}$

$\displaystyle \text{Surface Area of Prism}=3\sqrt3(\text{side})^2+6(\text{side})(\text{height})$

Plug in the given values to find the surface area of the prism.

$\displaystyle \text{Surface Area of Prism}=3\sqrt3(6)^2+6(6)(13)=655.06$

Make sure to round to $\displaystyle 2$ places after the decimal.

In order to find the surface area, you will need to add up the areas of each face of the prism.

This hexagonal prism has two regular hexagons as its bases.

Recall how to find the area of a regular hexagon:

$\displaystyle \text{Area of Regular Hexagon}=\frac{3\sqrt3}{2}(\text{side}^2)$

Now, since we have two hexagons, we can multiply the area by $\displaystyle 2$ to get the area of both bases.

$\displaystyle \text{Area of Bases}=3\sqrt3(\text{side})^2$

Next, this prism has $\displaystyle 6$ rectangles that make up its sides.

Recall how to find the area of a rectangle:

$\displaystyle \text{Area of Rectangle}=\text{length}\times\text{width}$

In this prism, the length is also the side of the hexagon, and the width of the rectangle is the height of the prism.

Now, multiply the area of the rectangle by $\displaystyle 6$ to find the total area of all of the sides of the prism.

$\displaystyle \text{Area of Prism Sides}=6(\text{side})(\text{height})$

Add together the area of the sides and of the bases to find the surface area of the prism.

$\displaystyle \text{Surface Area of Prism}=\text{Area of Bases}+\text{Area of Sides}$

$\displaystyle \text{Surface Area of Prism}=3\sqrt3(\text{side})^2+6(\text{side})(\text{height})$

Plug in the given values to find the surface area of the prism.

$\displaystyle \text{Surface Area of Prism}=3\sqrt3(4)^2+6(4)(9)=299.14$

Make sure to round to $\displaystyle 2$ places after the decimal.

In order to find the surface area, you will need to add up the areas of each face of the prism.

This hexagonal prism has two regular hexagons as its bases.

Recall how to find the area of a regular hexagon:

$\displaystyle \text{Area of Regular Hexagon}=\frac{3\sqrt3}{2}(\text{side}^2)$

Now, since we have two hexagons, we can multiply the area by $\displaystyle 2$ to get the area of both bases.

$\displaystyle \text{Area of Bases}=3\sqrt3(\text{side})^2$

Next, this prism has $\displaystyle 6$ rectangles that make up its sides.

Recall how to find the area of a rectangle:

$\displaystyle \text{Area of Rectangle}=\text{length}\times\text{width}$

In this prism, the length is also the side of the hexagon, and the width of the rectangle is the height of the prism.

Now, multiply the area of the rectangle by $\displaystyle 6$ to find the total area of all of the sides of the prism.

$\displaystyle \text{Area of Prism Sides}=6(\text{side})(\text{height})$

Add together the area of the sides and of the bases to find the surface area of the prism.

$\displaystyle \text{Surface Area of Prism}=\text{Area of Bases}+\text{Area of Sides}$

$\displaystyle \text{Surface Area of Prism}=3\sqrt3(\text{side})^2+6(\text{side})(\text{height})$

Plug in the given values to find the surface area of the prism.

$\displaystyle \text{Surface Area of Prism}=3\sqrt3(20)^2+6(20)(30)=5678.46$

Make sure to round to $\displaystyle 2$ places after the decimal.

In order to find the surface area, you will need to add up the areas of each face of the prism.

This hexagonal prism has two regular hexagons as its bases.

Recall how to find the area of a regular hexagon:

$\displaystyle \text{Area of Regular Hexagon}=\frac{3\sqrt3}{2}(\text{side}^2)$

Now, since we have two hexagons, we can multiply the area by $\displaystyle 2$ to get the area of both bases.

$\displaystyle \text{Area of Bases}=3\sqrt3(\text{side})^2$

Next, this prism has $\displaystyle 6$ rectangles that make up its sides.

Recall how to find the area of a rectangle:

$\displaystyle \text{Area of Rectangle}=\text{length}\times\text{width}$

In this prism, the length is also the side of the hexagon, and the width of the rectangle is the height of the prism.

Now, multiply the area of the rectangle by $\displaystyle 6$ to find the total area of all of the sides of the prism.

$\displaystyle \text{Area of Prism Sides}=6(\text{side})(\text{height})$

Add together the area of the sides and of the bases to find the surface area of the prism.

$\displaystyle \text{Surface Area of Prism}=\text{Area of Bases}+\text{Area of Sides}$

$\displaystyle \text{Surface Area of Prism}=3\sqrt3(\text{side})^2+6(\text{side})(\text{height})$

Plug in the given values to find the surface area of the prism.

$\displaystyle \text{Surface Area of Prism}=3\sqrt3(2)^2+6(2)(6)=92.78$

Make sure to round to $\displaystyle 2$ places after the decimal.

In order to find the surface area, you will need to add up the areas of each face of the prism.

This hexagonal prism has two regular hexagons as its bases.

Recall how to find the area of a regular hexagon:

$\displaystyle \text{Area of Regular Hexagon}=\frac{3\sqrt3}{2}(\text{side}^2)$

Now, since we have two hexagons, we can multiply the area by $\displaystyle 2$ to get the area of both bases.

$\displaystyle \text{Area of Bases}=3\sqrt3(\text{side})^2$

Next, this prism has $\displaystyle 6$ rectangles that make up its sides.

Recall how to find the area of a rectangle:

$\displaystyle \text{Area of Rectangle}=\text{length}\times\text{width}$

In this prism, the length is also the side of the hexagon, and the width of the rectangle is the height of the prism.

Now, multiply the area of the rectangle by $\displaystyle 6$ to find the total area of all of the sides of the prism.

$\displaystyle \text{Area of Prism Sides}=6(\text{side})(\text{height})$

Add together the area of the sides and of the bases to find the surface area of the prism.

$\displaystyle \text{Surface Area of Prism}=\text{Area of Bases}+\text{Area of Sides}$

$\displaystyle \text{Surface Area of Prism}=3\sqrt3(\text{side})^2+6(\text{side})(\text{height})$

Plug in the given values to find the surface area of the prism.

$\displaystyle \text{Surface Area of Prism}=3\sqrt3(18)^2+6(18)(24)=4275.55$

Make sure to round to $\displaystyle 2$ places after the decimal.

The volume of a prism is given as

$\displaystyle V = Bh$

where

B = Area of the base

and

h = height of the prism.

Because the base is a square, we have

$\displaystyle B = s^2 = 2^2 = 4$

So plugging in the value of B that we found and h that was given in the problem we get the volume to be the following.

$\displaystyle V = 4\cdot4 = 16\,ft^3$