All Intermediate Geometry Resources
Example Questions
Example Question #4 : How To Find The Surface Area Of A Prism
Find the surface area of the regular hexagonal prism.
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:
Now, since we have two hexagons, we can multiply the area by to get the area of both bases.
Next, this prism has rectangles that make up its sides.
Recall how to find the area of a rectangle:
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 to find the total area of all of the sides of the prism.
Add together the area of the sides and of the bases to find the surface area of the prism.
Plug in the given values to find the surface area of the prism.
Make sure to round to places after the decimal.
Example Question #11 : How To Find The Surface Area Of A Prism
Find the surface area of the regular hexagonal prism.
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:
Now, since we have two hexagons, we can multiply the area by to get the area of both bases.
Next, this prism has rectangles that make up its sides.
Recall how to find the area of a rectangle:
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 to find the total area of all of the sides of the prism.
Add together the area of the sides and of the bases to find the surface area of the prism.
Plug in the given values to find the surface area of the prism.
Make sure to round to places after the decimal.
Example Question #12 : How To Find The Surface Area Of A Prism
Find the surface area of the regular hexagonal prism.
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:
Now, since we have two hexagons, we can multiply the area by to get the area of both bases.
Next, this prism has rectangles that make up its sides.
Recall how to find the area of a rectangle:
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 to find the total area of all of the sides of the prism.
Add together the area of the sides and of the bases to find the surface area of the prism.
Plug in the given values to find the surface area of the prism.
Make sure to round to places after the decimal.
Example Question #13 : How To Find The Surface Area Of A Prism
Find the surface area of the regular hexagonal prism.
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:
Now, since we have two hexagons, we can multiply the area by to get the area of both bases.
Next, this prism has rectangles that make up its sides.
Recall how to find the area of a rectangle:
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 to find the total area of all of the sides of the prism.
Add together the area of the sides and of the bases to find the surface area of the prism.
Plug in the given values to find the surface area of the prism.
Make sure to round to places after the decimal.
Example Question #14 : How To Find The Surface Area Of A Prism
Find the surface area of the regular hexagonal prism.
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:
Now, since we have two hexagons, we can multiply the area by to get the area of both bases.
Next, this prism has rectangles that make up its sides.
Recall how to find the area of a rectangle:
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 to find the total area of all of the sides of the prism.
Add together the area of the sides and of the bases to find the surface area of the prism.
Plug in the given values to find the surface area of the prism.
Make sure to round to places after the decimal.
Example Question #15 : How To Find The Surface Area Of A Prism
Find the surface area of the regular hexagonal prism.
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:
Now, since we have two hexagons, we can multiply the area by to get the area of both bases.
Next, this prism has rectangles that make up its sides.
Recall how to find the area of a rectangle:
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 to find the total area of all of the sides of the prism.
Add together the area of the sides and of the bases to find the surface area of the prism.
Plug in the given values to find the surface area of the prism.
Make sure to round to places after the decimal.
Example Question #16 : How To Find The Surface Area Of A Prism
Find the surface area of the regular hexagonal prism.
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:
Now, since we have two hexagons, we can multiply the area by to get the area of both bases.
Next, this prism has rectangles that make up its sides.
Recall how to find the area of a rectangle:
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 to find the total area of all of the sides of the prism.
Add together the area of the sides and of the bases to find the surface area of the prism.
Plug in the given values to find the surface area of the prism.
Make sure to round to places after the decimal.
Example Question #11 : How To Find The Surface Area Of A Prism
Find the surface area of the regular hexagonal prism.
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:
Now, since we have two hexagons, we can multiply the area by to get the area of both bases.
Next, this prism has rectangles that make up its sides.
Recall how to find the area of a rectangle:
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 to find the total area of all of the sides of the prism.
Add together the area of the sides and of the bases to find the surface area of the prism.
Plug in the given values to find the surface area of the prism.
Make sure to round to places after the decimal.
Example Question #12 : How To Find The Surface Area Of A Prism
Find the surface area of the regular hexagonal prism.
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:
Now, since we have two hexagons, we can multiply the area by to get the area of both bases.
Next, this prism has rectangles that make up its sides.
Recall how to find the area of a rectangle:
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 to find the total area of all of the sides of the prism.
Add together the area of the sides and of the bases to find the surface area of the prism.
Plug in the given values to find the surface area of the prism.
Make sure to round to places after the decimal.
Example Question #1 : How To Find The Volume Of A Prism
A prism with a square base has a height of feet.
If the edge of the base is feet, what is the volume of the prism?
The volume of a prism is given as
where
B = Area of the base
and
h = height of the prism.
Because the base is a square, we have
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.