Hole Volume Calculator
Calculate hole volume for circular and rectangular excavations, plus concrete needed for post holes with waste allowance.
What Is a Hole Volume Calculator?
A hole volume calculator finds how much space a circular or rectangular excavation occupies. It is useful for fence post holes, footing digs, utility trenches, and any project where you need to know excavation volume or how much concrete to order.
Circular Hole Volume Formula
For a cylindrical hole, volume equals the base area times depth:
$$ V = \pi \times r^2 \times h $$
Where $r$ is the radius and $h$ is the depth. If you know diameter instead, divide by 2 to get the radius. This is the same formula used by the Cylinder Calculator.
Rectangular Hole Volume Formula
For a rectangular excavation, multiply length, width, and depth:
$$ V = l \times w \times h $$
This matches the Rectangular Prism Calculator and is common for footing pads, pier forms, and trench sections.
Concrete Volume for Post Holes
When filling holes with concrete for fence posts or deck footings, multiply the total hole volume by the number of holes and add a waste allowance (typically 5% to 10%) to account for spillage and uneven ground:
$$ V_{\text{concrete}} = V_{\text{hole}} \times (1 + \text{waste}) \times n $$
For larger cylindrical pours, try the Concrete Cylinder Calculator or Concrete Column Calculator. For general concrete estimates, use the Concrete Calculator.
Frequently Asked Questions
How do I calculate the volume of a round post hole?
Measure the hole diameter (or radius) and depth. Use the formula V = π × r² × h. For example, a 12-inch diameter hole 36 inches deep has radius 6 inches (0.5 ft), so volume is π × 0.5² × 3 = about 2.36 cubic feet, or 0.087 cubic yards.
What size hole do I need for a fence post?
Standard fence post holes are 8 to 12 inches in diameter and 24 to 36 inches deep. Depth should be at least one-third of the total post length above ground. Check local building codes for frost-line requirements in your area.
How much concrete waste should I add?
Add 5% to 10% extra concrete to account for spillage, uneven hole walls, and partial fills. This calculator lets you set a custom waste percentage. For critical structural pours, lean toward 10%.
Can I use this for rectangular footing holes?
Yes. Switch to the rectangular prism shape and enter length, width, and depth. This works for pier pads, column footings, and straight trench sections with uniform cross-section.
What units does this calculator support?
Enter dimensions in feet, inches, meters, centimeters, millimeters, or yards. Results display in cubic yards, cubic feet, cubic inches, cubic meters, or liters.
How many bags of concrete do I need?
After finding total concrete volume, divide by the yield per bag. A standard 60 lb bag yields about 0.45 cubic feet. Use the Concrete Calculator for bag counts and mix ratios.