High School Math : How to find the volume of a pyramid in pre-algebra

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : How To Find The Volume Of A Pyramid In Pre Algebra

What is the volume of a pyramid with a square side length of  and a height of ?

Possible Answers:

Correct answer:

Explanation:

To find the volume of a pyramid we must use the equation 

We must first solve for the area of the square using 

We plug in  and square it to get 

We then plug our answer into the equation for the pyramid with 

We multiply the result by  to get our final answer for the volume of the pyramid .

Example Question #2 : How To Find The Volume Of A Pyramid In Pre Algebra

What is the volume of a pyramid with a square base that has a side length of  and a height of ?

Possible Answers:

Correct answer:

Explanation:

To find the volume of a pyramid we must use the equation 

We must first solve for the area of the square using 

We plug in  and square it to get 

We then plug our answer into the equation for the volume of the pyramid with 

It will look like this 


 

We multiply the result to get our final answer for the volume of the pyramid .

Example Question #1 : How To Find The Volume Of A Pyramid In Pre Algebra

What is the volume of a pyramid with a square base length of  and a height of ?

Possible Answers:

Correct answer:

Explanation:

To find the volume of a pyramid we must use the equation

We must first solve for the area of the square using

We plug in  and square it to get .

We then plug our answer into the equation for the volume of the pyramid 

We multiply the result to get our final answer for the volume of the pyramid 

Example Question #1 : How To Find The Volume Of A Pyramid In Pre Algebra

What is the volume of a pyramid with a base area of 9 sqaure centimeters and a height of 4 centimeters?

Possible Answers:

 

Correct answer:

Explanation:

The volume of a pyramid can be determined using the following equation:

Example Question #2 : How To Find The Volume Of A Pyramid In Pre Algebra

What is the volume of a pyramid with a base length of 5 inches, base width of 6 inches, and height of 8 inches?

Possible Answers:

Correct answer:

Explanation:

The volume of a pyramid can be determined using the equation:

Example Question #1 : How To Find The Volume Of A Pyramid In Pre Algebra

What is the volume of a square-based pyramid with side lengths  and a height of ?

Possible Answers:

Correct answer:

Explanation:

To find the volume of a pyramid, use the equation:

First solve for the base area (which is a square) using 

Then subsitute the base area into the volume formula and obtain:

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