Calculate Sand Volume

To calculate the volume of sand needed for a project, you typically use the following formula based on the shape and dimensions of the area you are filling.

For a Rectangular (Cuboidal) Area:

  • Length (L)
  • Width (W)
  • Depth (D) or Height (H)

V=L×W×D

For a Cylindrical Area:

  • Radius (r)
  • Height (h)

V=πr2hV = \pi r^2 h

 

How to calculate sand weight?

To calculate the weight of sand, multiply the volume and density of sand.

Calculate the weight using the density:

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

Density = 1601.948 kg/cubic meter

Example Calculation for Rectangular Area:

  • Length: 3 meters
  • Width: 2 meters
  • Depth: 0.5 meters

Calculate the Volume:

Volume=3 m×2m×0.5\text{Volume} = \text{3 m} \times \text{2m} \times 0.5

Volume = 3 cubic metrers

Calculate the Weight:

Weight=3 cubic meters×1601.948 kg/cubic meter\text{Weight} = \text{3 cubic meters} \times  \text{1601.948 kg/cubic meter} 

Weight=4805.844 kg\text{Weight} = \text{4805.844 kg}

 

Calculate sand cost

To calculate the cost of sand you need to multiply its weight and the price per unit weight, follow these steps:

Cost=Weight×Price Per Unit Weight\text{Cost} = \text{Weight} \times {\text{Price Per Unit Weight}}

Cost=4805.844 kg×0.05 per kg\text{Cost} = \text{4805.844 kg} \times \text{0.05 per kg}

Cost=$240.2922\text{Cost} = \text{$240.2922}

FAQs

What is Density of sand?

The density of sand can vary depending on the type and condition of the sand, but a typical value for dry sand is approximately 1,600 to 1,800 kilograms per cubic meter (kg/m³), or about 100 to 112 pounds per cubic foot (lb/ft³). Wet sand will have a higher density, around 1,920 to 2,080 kg/m³ (120 to 130 lb/ft³).

How much does a cubic yard of sand weight?

A cubic yard of sand typically weighs between 2,400 to 2,700 pounds (1,089 to 1,224 kg), depending on the type and condition of the sand.

How much does a bag of sand weight?

The weight of a bag of sand can vary depending on the size and type of the bag. Typically, a bag of sand weighs around 50 pounds (22.7 kg) to 100 pounds (45.4 kg). Some smaller bags may weigh around 25 pounds (11.3 kg).

V = L \times W \times D