GED Math : Faces and Surface Area

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #144 : 3 Dimensional Geometry

Find the surface area of a cube with a side length of .

Possible Answers:

Correct answer:

Explanation:

Write the formula for the surface area of a cube.

Substitute the side length into the formula.

The answer is:  

Example Question #145 : 3 Dimensional Geometry

Find the surface area of a cube with a side length of .

Possible Answers:

Correct answer:

Explanation:

Write the formula for the surface area of a cube.

Substitute the side.

The answer is:  

Example Question #146 : 3 Dimensional Geometry

A cube has a height of 12in. Find the surface area. 

Possible Answers:

Correct answer:

Explanation:

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.

Possible Answers:

Correct answer:

Explanation:

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 #151 : 3 Dimensional Geometry

Find the surface area of a sphere with a radius of 10in.

Possible Answers:

Correct answer:

Explanation:

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 #152 : 3 Dimensional Geometry

Find the surface area of a cube with a side edge of .

Possible Answers:

Correct answer:

Explanation:

Write the formula for the surface area of a cube.

Substitute the side into the equation.

The answer is:  

Example Question #153 : 3 Dimensional Geometry

If the surface area of a cube is , what is the volume of the cube in cubic inches?

Possible Answers:

Correct answer:

Explanation:

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 #154 : 3 Dimensional Geometry

Find the surface area of the square with a side length of .

Possible Answers:

Correct answer:

Explanation:

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 #155 : 3 Dimensional Geometry

You are given a small cube with an edge length of . Find the surface area of the cube.

Possible Answers:

Correct answer:

Explanation:

You are given a small cube with an edge length of . Find the surface area of the cube.

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 #151 : 3 Dimensional Geometry

You are given a chest with the following dimensions: 3' X 2' X 1.5'. 

What is the surface area of the chest?

Possible Answers:

 

 

 

 

Correct answer:

 

Explanation:

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 

 

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