Table of Contents
• Introduction
• What Are Cut and Fill?
• Why Volume Calculations for Cut and Fill Are Important
• Conventional Volume Calculation Methods and Their Challenges
• Volume Calculations Possible with Just a Smartphone
• Benefits of Using a Smartphone for Volume Calculations
• Reasons It Dramatically Improves Site Efficiency
• Introduction to Simple Surveying with LRTK
• Conclusion
• FAQ
Introduction
On construction sites and civil engineering works, cut and fill are routinely performed to shape the land. In these operations, it is essential to accurately calculate the volume (soil quantity) of earth to be removed or placed. However, conventional earthwork volume calculations have required specialized knowledge and labor-intensive work. Recently, thanks to technological advances, it has become possible to perform cut-and-fill volume calculations with just a *smartphone*, dramatically boosting on-site productivity. This article explains what cut and fill are, why their volume calculations matter, the issues with traditional methods, and the latest smartphone-based measurement techniques and their benefits.
What Are Cut and Fill?
First, let’s clarify the terms cut and fill. Cut refers to excavating and removing soil from hills or mounds. Cuts are made when leveling high ground during road construction or land development. Conversely, fill refers to bringing soil to a site and piling it up. Fill is used to raise low ground to create a level surface or to form terraces on slopes. In fill work, not only is soil placed, but processes such as spreading and leveling (shiki-narashi) and compaction called rolling are performed to consolidate the soil and produce a stable ground.
Cut and fill are often performed together, and ideally the soil excavated by cutting is reused as fill elsewhere. For example, soil from a hillside can be used to fill nearby valleys or low areas, reducing excess soil disposal and the need to import new soil. Therefore, balancing cut volumes and fill volumes is important from both cost and environmental perspectives.
Why Volume Calculations for Cut and Fill Are Important
From planning through completion, calculating the soil volume (the earthwork quantity) for cut and fill is extremely important. Key reasons accurate volume calculations are required are listed below.
• Cost and schedule management: Knowing how much soil must be hauled away or how much is needed for backfilling allows accurate planning for truck allocation, disposal costs, and procurement of fill material. Inaccurate calculations can lead to soil shortages or surpluses, resulting in additional work, surplus soil handling, budget overruns, or schedule delays.
• Efficient construction planning: Balancing cut and fill volumes directly affects overall project efficiency. If soil from cuts can be used for fills as much as possible, transport of excess soil and the number of dump truck round trips can be minimized. This also reduces environmental impact.
• Quality and safety: When placing fill, compaction reduces the volume (the later-described soil volume change rate). If the necessary fill thickness and compaction are not accounted for in planning, post-construction settlement or overfilling that causes instability may occur. Calculations estimate the required fill volume and post-compaction volume to ensure quality and safety.
As described above, cut-and-fill volume calculations play a vital role across cost control and construction quality. Large discrepancies between cut and fill volumes can create issues like surplus soil disposal or the need to import soil, so detailed pre-calculation is essential.
Conventional Volume Calculation Methods and Their Challenges
Traditionally, cut-and-fill volumes (earthwork quantities) have been calculated using survey data and drawings. Representative methods include the following.
• Average end area method: A basic method used for linear earthworks such as roads. Cross-sections are taken at regular intervals and the area of each section is computed. Multiplying the average of adjacent section areas by the distance between sections yields the volume for that segment. Summing segment volumes gives total cut and fill volumes.
• Grid (mesh) method: Suitable for large sites or complex terrain. The site is divided into a grid, and local prism volumes are calculated from the corner elevations of each grid cell and summed. Compared with the average end area method, this handles detailed terrain changes and improves accuracy.
These calculations assume careful on-site surveying. Traditionally, surveyors used instruments such as transits and levels, and later total stations, to acquire elevation data, which then had to be manually entered into drawings or spreadsheets to compute volumes. More recently, CAD software that automatically compares 3D design data (existing terrain vs. design ground) and calculates cut and fill volumes has become widespread.
However, conventional methods have several challenges.
• Manual labor burden and errors: If surveying and calculations are manual, they demand significant time and effort. Larger sites require more survey points and more personnel. Manual calculations, drawing interpretation errors, and recording mistakes are common.
• Lack of real-time capability: Earthworks often require repeated volume calculations as work progresses (for example, daily progress checks). Traditional methods require calling the surveying team each time and reprocessing data, making rapid decision-making difficult and slow to respond to site changes.
• Expensive equipment and specialist knowledge: High-precision earthwork calculations require high-end surveying equipment (advanced GNSS receivers or 3D laser scanners) and specialized software, leading to high upfront and maintenance costs. Securing skilled operators is also a challenge. For small sites, these costs can be prohibitive, hindering ICT adoption.
Volume Calculations Possible with Just a Smartphone
In recent years, surveying technology has made the smartphone a new key tool in civil surveying. Notably, methods that leverage smartphones’ advanced sensors and positioning technologies for cut-and-fill volume measurement are gaining attention. Modern smartphones can include LiDAR sensors that scan surroundings as point cloud data. Combined with GNSS augmentation techniques like RTK (Real-Time Kinematic), smartphones can acquire position information with centimeter-level accuracy.
By combining these capabilities, high-precision surveying that once required dedicated equipment can now be achieved with a *single smartphone*. Specifically, by walking around the site with a smartphone in hand, the following becomes possible.
• 3D scanning of existing terrain: Using the phone’s LiDAR to scan the ground surface creates point cloud data or 3D models of the current terrain, enabling quick creation of a digital terrain model (DTM).
• High-precision coordinate acquisition: In addition to the phone’s built-in GPS, RTK enables smartphone positioning with centimeter-level accuracy. Previously, smartphone GPS accuracy was on the order of 5-10 m (16.4-32.8 ft) and unsuitable for elevation measurement, but RTK support allows vertical measurements with about ±3 cm (±1.2 in) accuracy.
• Immediate volume calculation: Overlaying acquired 3D data of the current terrain with design data in a phone app or cloud service lets software automatically compute cut and fill volumes. Tedious manual calculations or drawing readings are unnecessary.
The advent of smartphone surveying has made 3D surveying and earthwork volume calculations that once depended on specialist equipment more accessible. In Japan, initiatives like the Ministry of Land, Infrastructure, Transport and Tourism’s i-Construction promoting ICT adoption have helped spread simple smartphone-based measurements even on small sites.
Benefits of Using a Smartphone for Volume Calculations
Using a smartphone to calculate cut-and-fill volumes offers several advantages not found in traditional methods.

