Finding the volume of a pyramidal frustum means finding just a part of pyramid's volume. If the pyramid's top point, known as its apex or common vertex, is directly over the centre of its base, the pyramid is termed a right pyramid. When a portion of a right pyramid's top is removed that leaves an upper base that is parallel to the pyramid's lower base, the resultant solid is called a right pyramidal frustum. You can find a right pyramid frustum's volume through the areas of its two bases and the height, or distance, between them.
- Skill level:
- Moderately Easy
Other People Are Reading
Things you need
Calculate the bottom and top bases' areas. For this example, let the bottom base be a square with a side length of 4 units and the top base be a square with a side length of 2 units --- the area of the bottom base is 16 square units and the area of the top base is 4 square units.
Multiply the two base areas, then find their product's square root. In this example, 4 multiplied by 16 results in 64, and the square root of 64 is 8 square units.
Sum the areas from Step 1 with the square root from Step 2. In this example, 16, 4 and 8 square units added together equal 28 square units.
Multiply the sum from Step 3 with the height between the two bases. In this example, let the height be 6 units --- multiplying 6 units by 28 square units results in 768 cubic units.
Divide the product from Step 4 by 3. Concluding this example, 768 cubic units divided by 3 results in 256 cubic units.
Tips and warnings
- A pyramidal frustum's volume can also be calculated by subtracting the volume of the part removed from the volume of the original pyramid.
- 20 of the funniest online reviews ever
- 14 Biggest lies people tell in online dating sites
- Hilarious things Google thinks you're trying to search for