Volume of a Trapezoidal Prism Calculator

The volume of a 3D object is the amount of space occupied by the 3D object. The bigger the volume, the more space the object takes up. One way to measure volume is to measure the water the object displaces when it is put into water.

Please check out our volume calculator to understand more about this topic.

To understand the formula for the volume of a trapezoidal prism, let's look at the example below:

• Length of short base (b): 5 m
• Length of long base (B): 5 m
• Length (ℓ): 5 m
• Height (h): 3 m

1. Determine the length of the short base (b).

   The first step is to determine the length of the short base, b, of the trapezoidal prism. For our example, b is 5 m.

2. Determine the length of the long base (B).

   The next step is to determine the length of the long base, B, of the trapezoidal prism. For our example, B is 5 m.

3. Calculate the length (ℓ).

   Now you need to compute the length, ℓ, of the trapezoidal prism. The ℓ of this trapezoidal prism is 5 m.

4. Determine the height (h).

   Also, the height, h, of the trapezoidal prism is 3 m.

5. Calculate the volume of a trapezoidal prism.

   The last step is to calculate the volume of the trapezoidal prism using the formula:

   ((b + B) / 2) × h × ℓ

   Thus, the volume of the trapezoidal prism is ((5 m + 5 m) / 2) × 5 m × 3 m = 75 m³.