GED Math : Geometry and Graphs
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Example Questions
Example Question #21 : Faces And Surface Area
A cube has a height of 12in. Find the surface area.
To find the surface area of a cube, we will use the following formula.
where a is the length of any side of the cube.
Now, we know the height of the cube is 12in. Because it is a cube, all sides are equal (this is why we can use any length/side in the formula). So, we will use 12in in the formula. We get
Example Question #701 : Geometry And Graphs
Find the surface area of a cube with a length of 11in.
To find the surface area of a cube, we will use the following formula:
where a is any length of the cube. Because a cube has equal lengths, widths, heights, we can use any of those sides in the formula.
Now, we know the length of the cube is 11in. So, we can substitute. We get
Example Question #1664 : Ged Math
Find the surface area of a sphere with a radius of 10in.
To find the surface area of a sphere, we will use the following formula:
where r is the radius of the sphere.
Now, we know the radius of the sphere is 10in. So, we will substitute. We get
Example Question #23 : Faces And Surface Area
Find the surface area of a cube with a side edge of 
Write the formula for the surface area of a cube.
Substitute the side into the equation.
The answer is:
Example Question #1662 : Ged Math
If the surface area of a cube is 
Recall the formula to find the surface area of a cube:
Start by solving for the length of a side of the cube.
Now recall how to find the volume of a cube:
Plug in the found side length to find the volume.
Example Question #24 : Faces And Surface Area
Find the surface area of the square with a side length of 
Write the formula for the surface area of a square.
We will determine the areas of the 6 faces of the square.
The answer is:
Example Question #1671 : Ged Math
You are given a small cube with an edge length of 
You are given a small cube with an edge length of 
A cube has six faces, each with an area of side squared. Thus, we use the formula:
Now, we plug in our side length and solve.
Example Question #26 : Faces And Surface Area
You are given a chest with the following dimensions: 3' X 2' X 1.5'.
What is the surface area of the chest?
You are given a chest with the following dimensions: 3' X 2' X 1.5'.
What is the surface area of the chest?
To find the surface area of a rectangular prism, use the following formula:
Where l, h and w are length, width and height.
So, let's plug in our values and solve for SA.
So, our answer is
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 
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