Mulch Volume Calculator

Mulch volume is bed area × depth ÷ 12 in cubic feet, and one cubic yard covers about 108 square feet at 3 inches deep.

ft
ft
Ignored for a round bed.
in
Trunk diameter plus the gap on each side (Penn State Extension: 3 to 5 in for young trees, 8 to 10 in for mature). Use 0 for none.
in
ft³
Cubic feet per bag; check the label.
Mulch needed
0.46yd³
Volume12.4 ft³
Bags7 bags
Area covered49 ft²

Show the math

Area = π ÷ 4 × 8² − clear circle (π ÷ 4 × (12 in ÷ 12)²) = 49.5 ft²
Volume = 49.5 ft² × 3 in ÷ 12 = 12.37 ft³
Cubic yards = 12.37 ÷ 27 = 0.46 yd³
Bags = 12.37 ÷ 2 ft³, rounded up = 7

Rounded the same way as the result above.

How it works

The area of the bed times the depth is the volume. A round ring around a tree is a circle minus the small circle you leave clear at the trunk. Convert depth from inches to feet, then divide cubic feet by 27 for cubic yards.

Penn State Extension advises a 2 to 4 in layer of organic mulch, pulled 3 to 5 in back from young trees and 8 to 10 in back from mature trees so it does not press against the bark. That is why the clear circle is an input.

Volume (ft³) = area × depth ÷ 12 Cubic yards = ft³ ÷ 27 Bags = ft³ ÷ bag size, rounded up

Worked example

An 8 ft diameter mulch ring around a tree, 3 in deep, with a 12 in circle kept clear at the trunk:

  1. Area = π ÷ 4 × 8² − clear circle (π ÷ 4 × (12 in ÷ 12)²) = 49.5 ft²
  2. Volume = 49.5 ft² × 3 in ÷ 12 = 12.37 ft³
  3. Cubic yards = 12.37 ÷ 27 = 0.46 yd³
  4. Bags = 12.37 ÷ 2 ft³, rounded up = 7
InputValue
Bed shapeRound ring around a tree (diameter)
Length, or diameter of a round bed8 ft
Width (rectangle only)4 ft
Clear circle left around the trunk12 in
Mulch depth3 in
Bag size2 ft³
ResultValue
Mulch needed0.46 yd³
Volume12.4 ft³
Bags7 bags
Area covered49 ft²

Assumptions and limits

  • The bed is flat and mulch is loose; settling over time means you may need to top up.
  • Wood chips and bark differ in bulk; the volume is the same, but weight and coverage per bag vary by product.
  • Rectangle or circle only. Split an irregular bed into pieces and add them.

Common questions

How much does one cubic yard of mulch cover?

About 162 sq ft at 2 in deep, 108 sq ft at 3 in, and 81 sq ft at 4 in.

How deep should mulch be around a tree?

Penn State Extension recommends a 2 to 4 inch layer of organic mulch, pulled 3 to 5 inches away from young trees and 8 to 10 inches away from mature trees.

What is a mulch volcano?

Mulch piled against the trunk holds moisture on the bark and can lead to decay and pest problems. Keep the trunk flare clear.

How many bags are in a cubic yard?

13.5 bags of 2 cubic-foot mulch, since a cubic yard is 27 cubic feet.

Sources

  • Volume of a flat layer; 1 cubic yard = 27 cubic feet.
  • Penn State Extension, Mulching Landscape Trees: a 2- to 4-inch layer of organic mulch, pulled 3 to 5 inches back from young trees and 8 to 10 inches back from mature trees.

Updated 2026-09-30