Find the Volume
Base is a square. V = ⅓ × base_area × h. Round to 2 decimal places.
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Volume of Pyramid Game
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This Volume of Pyramid Game is a great way to put your skills to the test in a fun environment. By practicing, you’ll start to work out the answers efficiently.
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Volume of Pyramid Game
The volume (V) of any pyramid is found by taking one-third of the area of its base (B) times its perpendicular height (h).
The formula is:
\(V = \frac{1}{3} \times \text{Base Area} \times \text{Height}\)
For a Square-Based Pyramid, the base area (B) is the side length squared (s × s = s2).
So, the specific formula becomes: \(V = \frac{1}{3} s^2 h\)
Scroll down the page for a more detailed explanation.
In this game, you may select “Find Volume”, “Find Height”, “Find Base Side”, or “Mixed Questions”. If you give a wrong answer, the game will provide the correct answer.
Score: 0 / 0
How to Play the Volume of Pyramid Game
In the game, you need to find the volume of a square pyramid given the height and base side or find the height or base side given the volume.
Here’s how to play:
- Choose your challenge: Select “Find Volume”, “Find Height”, “Find Base Side”, or “Mixed Questions”.
- Find Volume: Calculate volume given the base side and height.
- Find Height: Calculate height given the base side and volume.
- Find Base Side: Calculate base side given the height and volume.
- Enter Your Answer: Enter in the answer.
- Check Your Work: Click the “Check” button (or press the Enter key). The game will tell you if you’re correct. If you are wrong, you will be shown the correct answer.
- Get a New Problem: Click the “Next” button for a new problem.
Your score is tracked at the top, showing how many you’ve gotten right out of the total you’ve tried. - Back to Menu Click “Menu” to restart the game.
Find the Volume of a Pyramid
The volume (V) of any pyramid is found by taking one-third of the area of its base (B) times its perpendicular height (h).
The formula is:
\(V = \frac{1}{3} \times \text{Base Area} \times \text{Height}\)
For a Square-Based Pyramid, the base area (B) is the side length squared (s × s = s2).
So, the specific formula becomes: \(V = \frac{1}{3} s^2 h\)
Where:
V is the Volume.
s is the side length of the square base.
h is the perpendicular height (the distance from the center of the base straight up to the apex).
Find the height
To find the height of pyramid given its volume, rearrange the formula to solve for the height (h) by isolating it to one side of the equation.
\(h = \frac{3V}{B}\)
For a Square-Based Pyramid, the formula becomes
\(h = \frac{3V}{s^2}\)
Find the base side
To find the based side of a square-based pyramid given its volume, rearrange the formula to solve for the height (h) by isolating it to one side of the equation.
\(s = \sqrt{\frac{3V}{h}}\)
The video gives a clear, step-by-step approach to find the volume of a pyramid.
The video gives a clear, step-by-step approach to find the height of a pyramid given the volume and base dimensions.
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