Slope Percentage Calculator
Calculate slope percentage, grade, and ratio from rise and run measurements. Essential for grading, drainage, and accessibility planning.
Calculate swale dimensions, cross-section area, and soil volume for grading drainage swales. Enter width, depth, and length for estimates.
| Station (ft) | Elevation Drop (ft) | Cumulative Vol (yd³) |
|---|---|---|
| 25 | 0.38 | 5.6 |
| 50 | 0.75 | 11.1 |
| 75 | 1.13 | 16.7 |
| 100 | 1.50 | 22.2 |
| Material | Cost / sq ft | Manning's n | Best For |
|---|---|---|---|
| Grass / Sod | $0.35 | 0.035 | Residential, bioswales |
| Riprap | $3.50 | 0.040 | High-velocity channels |
| Concrete | $8.00 | 0.013 | Urban, high flow |
| Geotextile + Gravel | $2.50 | 0.025 | Erosion control |
A swale is a shallow, vegetated channel designed to collect and redirect stormwater runoff. Swales are a key component of residential and commercial grading plans, directing water away from structures and toward drainage outlets. Proper swale design requires the right cross-section dimensions and longitudinal slope.
This calculator estimates the cross-section area, soil volume to excavate, and flow capacity of a swale based on its width, depth, and length. It factors in the typical trapezoidal or parabolic shape used in residential grading designs.
Whether you're grading a yard, building a bioswale for rain garden filtration, or designing drainage for a commercial site, this calculator provides the key dimensions and soil quantities for planning.
Swale grading requires balancing cross-section size with slope to achieve the right flow capacity without erosion. This calculator converts your dimensions into soil volume and cross-section area, making it easy to plan excavation and hauling.
Cross-Section Area = 0.667 × Width × Depth (parabolic)
Soil Volume (yd³) = Cross-Section × Length ÷ 27
Slope = Rise ÷ Run (typically 1–2%)Result: 22.2 yd³ excavation
Cross-section: 0.667 × 6 × 1.5 = 6.0 sq ft. Volume: 6.0 × 100 = 600 cu ft ÷ 27 = 22.2 yd³. Slope: 1.5% over 100 ft = 1.5 ft of fall.
Parabolic: the most natural and common shape, calculated as 2/3 × width × depth. Trapezoidal: flat bottom with angled sides, used for higher-capacity channels. V-shaped: simplest but concentrates flow and can erode. Parabolic is preferred for residential settings.
For a typical 1/4-acre residential lot, a swale 4–6 ft wide and 12‒18 in deep handles normal rainfall. For larger drainage areas or clay soils, increase width or add a French drain underneath the swale for infiltration.
Stake the swale centerline and edges. Excavate to the design cross-section. Shape side slopes to 3:1 or flatter. Compact the subgrade lightly. Apply compost amendment for bioswales. Seed or sod the surface immediately. Install erosion blankets on bare soil.
Mow regularly like the rest of the lawn. Remove debris and sediment deposits. Check for erosion after heavy storms. Re-seed bare patches promptly. Maintain the outlet connection to prevent backup and flooding.
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Residential swales should have a longitudinal slope of 1–2%. Slopes less than 1% may not drain properly and can pond water. Slopes over 3% risk erosion and need reinforcement such as riprap or erosion blankets.
Typical residential swales are 6‒18 inches deep with 3:1 or gentler side slopes. The depth depends on the drainage area and required flow capacity. Shallow, wide swales integrate better with lawns.
A swale is a shallow, gently sloped depression that blends into the landscape and is typically vegetated. A ditch is deeper, steeper-walled, and more utilitarian. Swales are preferred in residential settings for aesthetics and safety.
A bioswale is a swale designed with amended soil and native plantings to filter pollutants from stormwater runoff. They're commonly required in commercial development for stormwater management and water quality treatment.
Keep velocities low by controlling slope and depth. Vegetate with dense turf grass. Use erosion control blankets during establishment. Add check dams (small stone berms) in steeper sections to slow water flow.
Yes, if the side slopes are 3:1 or flatter and the bottom is wide enough for a mower. This is a key design consideration for residential swales. Steeper swales should be planted with native grasses that don't require mowing.
Calculate slope percentage, grade, and ratio from rise and run measurements. Essential for grading, drainage, and accessibility planning.
Estimate excavation and grading costs per square foot or cubic yard. Enter area, depth, and rates for total grading project cost.
Calculate gravel, pipe, and fabric for French drains. Enter trench length, width, and depth for complete material and cost estimates.