Total weight of sand used to fill a space Calculator

Formula

To calculate the total weight of sand ($m$):

\[ m = L \times W \times T \times D \]

Where:

$m$ is the weight/mass
$L$ is the length
$W$ is the width
$T$ is the thickness/depth
$D$ is the density (typically 100 lbs per cubic foot)

Cost Calculation Formula

To calculate the total cost ($C$):

\[ C = m \times \frac{p}{m} \]

Where:

$C$ is the total cost ($)
$m$ is the total weight
$\frac{p}{m}$ is the cost per unit weight

What is Sand Calculator?

A sand calculator helps determine the total weight of sand needed to fill a space based on its dimensions and the density of the sand. This is useful for construction projects, landscaping, and other applications where precise quantities of sand are required. Additionally, knowing the total weight allows for the calculation of the total cost based on the price per unit weight of sand.

Example Calculation 1

Let's assume the following values:

Length ($L$) = 10 ft
Width ($W$) = 5 ft
Thickness/Depth ($T$) = 2 ft
Density ($D$) = 100 lbs/ft³
Cost per Unit Weight ($p/m$) = $0.05/lb

Using the formula:

\[ m = 10 \times 5 \times 2 \times 100 = 10,000 \text{ lbs} \]

\[ C = 10000 * 0.05 = 500 $ \]

The total weight of sand is 10,000 lbs and the total cost is $500.

Example Calculation 2

Let's assume the following values:

Length ($L$) = 8 ft
Width ($W$) = 4 ft
Thickness/Depth ($T$) = 1.5 ft
Density ($D$) = 100 lbs/ft³
Cost per Unit Weight ($p/m$) = $0.04/lb

Using the formula:

\[ m = 8 \times 4 \times 1.5 \times 100 = 4,800 \text{ lbs} \]

\[ C = 4800 * 0.04 = 192 $ \]

The total weight of sand is 4,800 lbs and the total cost is $192.