GED Math : Faces and Surface Area
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Example Question #151 : 3 Dimensional Geometry
You have a cube with surface area of 
What is the area of one face of the cube?
You have a cube with surface area of 
What is the area of one face of the cube?
To find the surface area of a cube, we use the following formula:
Where s squared gives us the area of one face. We multiply by 6 because there are six faces.
So, we can rewrite our above formula to get:
So, if we plug in our given surface area, we can find the area of one face.
So, our answer is
Example Question #32 : Faces And Surface Area
A paint factory uses cylindrical paint cans that have a radius of 
Start by finding the volume of the paint can. Recall how to find the volume of a cylinder:
Plug in the given radius and height to find the volume of the paint can.
Now, divide the total volume of paint made by the factory in a day by the volume of an individual paint can to determine how many cans will be filled.
Since the question asks for the number of complete cans that will be filled, the factory can only fill 
Example Question #33 : Faces And Surface Area
Consider a tube which is 3 ft wide and 18 ft long.
Find the surface area of the largest sphere which could fit within the tube described above.
Consider a tube which is 3 ft wide and 18 ft long.
Find the surface area of the largest sphere which could fit within the tube described above.
Okay, so we need to find the surface area of a sphere. To do so, we need the following formula:
Now, you're probably thinking, "How do we find our radius?" Well, we need to look at our tube.
The largest sphere which will fit within the tube is the same thing as a sphere with diameter equal to the tube's diameter.
In this case, the diameter of the tube is 3 ft. This means our sphere's diameter is also 3 feet.
If our diameter is 3 ft, then our radius is half of that- 1.5 ft.
So, with a 1.5 ft radius, our surface area becomes:
So, leaving our answer in terms of pi, we get:
Example Question #34 : Faces And Surface Area
Find the surface area of a rectangular prism with the following dimensions: 6 ft by 12 ft by 4 ft.
Find the surface area of a rectangular prism with the following dimensions: 6 ft by 12 ft by 4 ft.
To find the surface area of a rectangular prism, we essentially need to add up the area of all the sides. To do so, use the following formula:
Where l, w, and h are our length, height, and width.
We simply need to plug in our given measurements and solve
So, our surface area is
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