Dirt Pile Calculator - Calculate Volume and Weight of Pile

Last updated: 15 Apr 2025 | Author: Brij | Review By: Irshad

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The Dirt Pile Calculator helps estimate the volume and weight of dirt based on the shape and size of the pile.

Pile Shape:

Dirt Type:

Length:

Width:

Height:

Dirt Pile Calculation Results

Volume:

ft³

Weight:

lbs

Weight:

tons

Whether you're working on a construction site, landscaping a garden, or estimating excavation work, knowing how much dirt you have is essential. Our Dirt Pile Calculator helps you quickly determine the volume and weight of a dirt pile based on its shape and dimensions.

You can choose between three shapes:

📦 Rectangular Pile
🍦 Conical Pile
🔺 Triangular Prism Pile

Let’s go over how each shape is calculated.

Formula for calculate Volume and Weight

1. Rectangular Dirt Pile

Formula for Volume:

$\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}$

Formula for Weight:

$\text{Weight} = \text{Volume} \times \text{Density}$

2. Conical Dirt Pile

Formula for Volume:

$\text{Volume} = \frac{1}{3} \pi r^2 h$

Where:

$r$ = Radius of the base
$h$ = Height of the cone
$\pi \approx 3.1416$

Formula for Weight:

$\text{Weight} = \text{Volume} \times \text{Density}$

3. Triangular Prism Dirt Pile

Formula for Volume:

$\text{Volume} = \frac{1}{2} \times \text{Base Length} \times \text{Triangle Height} \times \text{Prism Length}$

Formula for Weight:

$\text{Weight} = \text{Volume} \times \text{Density}$

Example Calculation

Let’s take an example for each shape to understand how the calculator works.

Example 1: Rectangular Pile

Length = 10 ft
Width = 5 ft
Height = 3 ft
Density = 100 lb/ft³

Volume:

$\text{Volume} = 10 \times 5 \times 3 = 150\ \text{ft}^3$

Weight:

$\text{Weight} = 150 \times 100 = 15,000\ \text{lbs}$

Example 2: Conical Pile

Radius = 4 ft
Height = 6 ft
Density = 100 lb/ft³

Volume:

$\text{Volume} = \frac{1}{3} \pi (4^2)(6) = \frac{1}{3} \pi (16)(6) = \frac{1}{3} \pi (96) \approx 100.53\ \text{ft}^3$

Weight:

$\text{Weight} = 100.53 \times 100 = 10,053\ \text{lbs}$

Example 3: Triangular Prism

Base Length = 6 ft
Triangle Height = 4 ft
Prism Length = 10 ft
Density = 100 lb/ft³

Volume:

$\text{Volume} = \frac{1}{2} \times 6 \times 4 \times 10 = \frac{1}{2} \times 240 = 120\ \text{ft}^3$

Weight:

$\text{Weight} = 120 \times 100 = 12,000\ \text{lbs}$

Final Notes

Make sure you’re using consistent units (typically feet and pounds).
The density of dirt can vary — common average: 100 lb/ft³ for loose soil.
Use the calculator to avoid over- or under-ordering dirt for your project.

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Dirt Pile Calculator - Calculate Volume and Weight of Pile

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