How to find the volume of a pyramid?
Understand the Problem
The question is asking for the method to calculate the volume of a pyramid. This involves using the formula for the volume of a pyramid, which is generally V = (1/3) * base area * height.
Answer
100 cubic units
Answer for screen readers
The final answer is 100 cubic units
Steps to Solve
- Identify the base area and height of the pyramid
The base area (A) is the area of the base shape of the pyramid, and the height (h) is the perpendicular distance from the base to the apex of the pyramid.
- Use the volume formula for a pyramid
The formula for calculating the volume (V) of a pyramid is given by:
$$ V = \frac{1}{3} \times A \times h $$
- Substitute the values into the formula
Input the values of the base area and the height into the formula to find the volume.
For example, if the base area is 20 square units and the height is 15 units, the calculation would be:
$$ V = \frac{1}{3} \times 20 \times 15 $$
- Simplify and solve the equation
Calculate the result step-by-step:
First multiply the base area and the height:
$$ 20 \times 15 = 300 $$
Then multiply by the factor of ( \frac{1}{3} ):
$$ V = \frac{1}{3} \times 300 = 100 $$
The final answer is 100 cubic units
More Information
The volume of a pyramid can be easily calculated using the given base area and height values. Fun fact: The Great Pyramid of Giza, one of the most famous pyramids in the world, has an estimated volume of approximately 2.5 million cubic meters!
Tips
A common mistake is to forget to divide by 3. Make sure to use the complete formula: ( \frac{1}{3} ) times base area times height.
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