Calculating the volume of a pyramid involves substituting known values into the volume formula and performing simple arithmetic operations. Given the base area and height, as in the Great Pyramid example, you substitute these into the formula \[V = \frac{1}{3} \times 50,000 \times 150\]The calculation involves first multiplying the base area (50,000 square meters) by the height (150 meters) which gives 7,500,000 cubic meters. Then, applying the final step of the formula, dividing by 3, simplifies it to the actual pyramid volume: 2,500,000 cubic meters.
Steps to ensure accuracy:
- Ensure your base area and height are in compatible units, typically both in meters for such problems.
- Multiply these values to get a preliminary result.
- Lastly, divide by 3 reflecting the tapering shape of the pyramid to find its volume.
By following these steps, calculating the volume of a pyramid becomes a straightforward operation. Understanding these calculations enables you to solve similar geometry problems with confidence.