Rectangular Tank Calculator

What is a Rectangular Tank?

A rectangular tank is a container with six rectangular faces, forming a cuboid shape. It's commonly used for storing liquids, gases, or solid materials in various industries, including agriculture, manufacturing, and water storage. These tanks are popular due to their simple design, efficient use of space, and ease of construction.

How to Calculate Rectangular Tank Properties

To fully understand a rectangular tank, we need to calculate several key properties: its length, width, height, volume, and surface area. Each of these properties provides unique information about the tank's dimensions and capacity.

Formulas

Here are the essential formulas for a rectangular tank:

1. Volume (V):

\[ V = L \times W \times H \]

2. Surface Area (SA):

\[ SA = 2(LW + LH + WH) \]

Where:

• \(L\) is the length of the tank
• \(W\) is the width of the tank
• \(H\) is the height of the tank

Calculation Steps

1. Determine the length (L), width (W), and height (H) of the tank
2. Calculate the total volume using \(V = L \times W \times H\)
3. Calculate the surface area using \(SA = 2(LW + LH + WH)\)

Example and Visual Representation

Let's calculate the properties of a rectangular tank with a length of 4 meters, width of 3 meters, and height of 2 meters:

1. Given: \(L = 4\) m, \(W = 3\) m, \(H = 2\) m
2. Volume: \(V = L \times W \times H = 4 \times 3 \times 2 = 24\) cubic meters
3. Surface Area: \(SA = 2(LW + LH + WH) = 2(4 \times 3 + 4 \times 2 + 3 \times 2) = 52\) square meters

Here's a visual representation of this rectangular tank:

In this diagram, you can see a 3D representation of our rectangular tank with length 4 meters, width 3 meters, and height 2 meters. The red line shows the length, the green line shows the height, and the blue line shows the width. The total volume (V) and surface area (SA) are labeled.