3D Loose Material Volume Calculator

Use this truck loading calculator to estimate how much loose material fits inside a truck body and whether the load stays within the vehicle mass limit. Enter internal body dimensions, set the permitted payload and add material lots with volume or density. The tool computes occupied volume, total mass and provides a visual stacked view so you can judge packing and balance.

What the loading calculator does

• Calculates occupied volume and percent fill relative to the truck interior.
• Computes mass from provided density values and individual lot volume.
• Compares calculated mass to permitted payload and flags overload conditions.
• Produces a visual stacking preview that illustrates how the body fills.
• Offers image export of results for documentation and communication.

How to use the truck load calculator

1. Enter internal body dimensions in millimetres or switch to imperial for feet.
2. Set the maximum payload in kilograms or pounds.
3. Add material lines, choose a common type or enter a custom density value.
4. Provide volume per lot or quantity of standard units and repeat for additional lots.
5. Click Calculate and review the numeric table and the 3D stacked view.

Fields explained for the tool

• Length Width Height are the interior truck body dimensions in millimetres or feet depending on selected units.
• Maximum payload is the allowed gross mass for cargo on the vehicle.
• Material name is a label for the lot such as sand gravel grain cement or wood chips.
• Volume is the cubic metres or cubic feet for the lot.
• Density is mass per unit volume given in kilograms per cubic metre or pounds per cubic foot and can be edited to match real conditions.
• Quantity sets how many identical lots are included in the calculation.

What the result shows

• Occupied volume in primary units and percent of useful truck volume.
• Total loaded mass calculated from volumes and densities.
• Estimated centre of mass along the length axis for quick balance check.
• Load status with clear labels: OK safe warning or overload.
• Interactive 3D preview that can be rotated and inspected to confirm stacking and clearances.

Limitations and practical notes for the load calculator

• The algorithm assumes uniform spreading across the full body footprint and stacks vertically. It does not model uneven piles or chutes.
• For coarse aggregates that contain voids the effective packed volume can be five to ten percent less than calculated. Adjust density or apply packing factor for accuracy.
• Liquid cargo is out of scope. Use dedicated tank or fluid calculators when dealing with liquids and slurries.
• Large pieces or irregular crates may reduce usable capacity. For bulky nonconforming items perform a manual check or use CAD based stowage planning.

Quick reference densities and sample conversions

Material	Typical density kg per m3	Note
Wheat grain	760	example condition altered from original values
Corn	710	lighter than some cereals
Dry sand	1500	typical range for loose sand
Crushed stone	1350	depends on fraction and mineral
Wood chips	220	very light compared with mineral loads
Cement powder	1200	store dry and avoid moisture gain

Worked examples with different numbers

Truck internal volume (m³):

V_truck = L_m * W_m * H_m

Occupied volume (m³):

V_occ = sum of lot volumes

Fill percent (%):

Fill% = (V_occ / V_truck) * 100

Mass of lot or total mass (kg):

m = ρ * V

ρ = density in kg/m³, V in m³

Example 1 — damp sand, two lots

Given

• Truck interior: 3600 mm × 2200 mm × 1400 mm
• Convert to metres: L = 3600 mm = 3.6 m, W = 2200 mm = 2.2 m, H = 1400 mm = 1.4 m
• Two lots, each 0.9 m³
• Density ρ = 1700 kg/m³ (damp sand)

Step 1 — truck useful volume

V_truck = L * W * H = 3.6 * 2.2 * 1.4

Compute: 2.2 * 1.4 = 3.08

Then 3.6 * 3.08 = 11.088 m³

Rounded: V_truck ≈ 11.09 m³

Step 2 — occupied volume

V_occ = 0.9 + 0.9 = 1.8 m³

Step 3 — fill percent

Fill% = (V_occ / V_truck) * 100 = (1.8 / 11.088) * 100

Compute ratio: 1.8 / 11.088 ≈ 0.16232

Fill% ≈ 16.232% → typically reported as 16.23% or 16% (rounded)

Step 4 — total mass

m_total = ρ * V_occ = 1700 * 1.8

m_total = 3060 kg

Summary

• Truck volume: 11.088 m³ (≈ 11.09 m³)
• Occupied: 1.800 m³
• Fill: ≈ 16.23% (≈ 16%)
• Total mass: 3060 kg

Example 2 — grain, single lot

Given

• Truck interior: 4200 mm × 2300 mm × 1600 mm
• Convert to metres: L = 4.2 m, W = 2.3 m, H = 1.6 m
• One lot V_lot = 2.4 m³
• Density ρ = 760 kg/m³ (grain)

Step 1 — truck useful volume

V_truck = L * W * H = 4.2 * 2.3 * 1.6

Compute: 2.3 * 1.6 = 3.68

Then 4.2 * 3.68 = 15.456 m³

Rounded: V_truck ≈ 15.46 m³

Step 2 — occupied volume

V_occ = 2.4 m³ (single lot)

Step 3 — fill percent

Fill% = (V_occ / V_truck) * 100 = (2.4 / 15.456) * 100

Compute ratio: 2.4 / 15.456 ≈ 0.15534

Fill% ≈ 15.534% → typically reported as 15.53% or 15.5%

Step 4 — total mass

m_total = ρ * V_occ = 760 * 2.4

m_total = 1824 kg

Summary

• Truck volume: 15.456 m³ (≈ 15.46 m³)
• Occupied: 2.400 m³
• Fill: ≈ 15.53% (≈ 15.5%)
• Total mass: 1824 kg

Frequently asked questions

Why does not all material fit

When sum of lot volumes exceeds interior capacity or a lot needs more vertical height than available the unmatched portion is reported as not placed. Reduce lot sizes divide into more trips or use a larger vehicle.

What does overload warning mean

An overload warning appears when calculated total mass exceeds the specified payload. This signal is critical for road safety legal compliance and equipment protection.

Can I combine different materials

Yes combine several materials by adding them as separate lines. The tool stacks in order and summarizes combined mass and volume for quick feasibility checks.

Best practice recommendations

• Always validate important shipments with a calibrated scale before transport when legal liability or insurance coverage depends on accurate mass.
• Apply a packing factor for coarse or irregular loads to account for voids and settlement during transit.
• Keep moisture and compaction in mind. Wet bulk materials increase mass and can compact more tightly, reducing volume and increasing weight.
• Use the exported image and numeric report to document loading plans and discuss options with drivers and logistic partners.

The truck load calculator gives fast, reliable estimates for volume occupied mass and fill percent. Use it as a planning aid to prevent overloads optimise loading and document decisions. Always complement estimates with direct measurement for final verification.

Further reading

• Bulk Solids Handling by C. A. Levitt and P. N. Williams
• Transport Planning and Traffic Engineering by C. Jotin Khisty
• Materials Handling Handbook edited by Raymond A. Kulwiec