This tool helps you easily calculate the volume of a trapezoidal prism.
How to Use the Volume of a Trapezoidal Prism Calculator
This calculator computes the volume of a trapezoidal prism. To use it, enter the lengths of the two parallel bases (b1 and b2), the height (h), and the length (l) of the prism. Click the “Calculate” button to get the volume.
How it Calculates the Results
The formula used by this calculator is:
Volume = ((b1 + b2) / 2) * h * l
Where:
- b1 is the length of the first base
- b2 is the length of the second base
- h is the height of the trapezoidal cross section
- l is the length of the prism
Limitations
Please ensure that all inputs are positive numbers. This calculator doesn’t account for negative or zero values, as they would not represent a valid physical object.
Use Cases for This Calculator
Calculate the volume of a trapezoidal prism using base1, base2, height, and depth
Enter the measurements of the two bases, height, and the depth of the trapezoidal prism to find out its volume. The formula to calculate the volume involves multiplying the average of the bases with the height and the depth of the prism.
Determine the volume of a trapezoidal prism with known area of the trapezoid, height, and depth
If you have the area of the trapezoid, height, and depth of the prism, you can easily compute the volume. Use the formula: volume = area of trapezoid × depth to find out the volume of the prism.
Find the volume of a trapezoidal prism with given perimeter and height
Input the perimeter and height of the trapezoidal prism into the calculator to determine its volume. The volume can be calculated by multiplying the perimeter with the height of the prism.
Calculate the volume of a trapezoidal prism using diagonal lengths, height, and base
If you have the diagonal lengths, height, and base measurements of the trapezoidal prism, you can easily find its volume. Use the formula: volume = 0.5 × (base1 + base2) × height × depth to calculate the volume.
Determine the volume of a trapezoidal prism with lateral edge lengths and height
When you have the lateral edge lengths and the height of the trapezoidal prism, you can compute its volume. Use the formula: volume = 0.5 × (lateral edge1 + lateral edge2) × height × depth to find the volume.
Find the volume of a trapezoidal prism using the central median, height, and base
Input the values of the central median, height, and base of the trapezoidal prism to calculate its volume. Use the formula: volume = h × (base1 + base2 + central median) ÷ 3 to determine the volume of the prism.
Calculate the volume of an irregular trapezoidal prism using cross-sectional area and depth
If you know the cross-sectional area and the depth of an irregular trapezoidal prism, you can calculate its volume. Simply multiply the cross-sectional area with the depth to find out the volume of the prism.
Determine the volume of a trapezoidal prism with known lateral face area and lateral face width
By inputting the lateral face area and the width of the lateral face into the calculator, you can easily compute the volume of the trapezoidal prism. Use the formula: volume = lateral face area × width to determine the volume.
Find the volume of a trapezoidal prism with triangular bases using the area of one base, height, and depth
If the trapezoidal prism has triangular bases, you can calculate its volume by entering the area of one base, height, and depth into the calculator. The formula to find the volume is: volume = (0.5 × base × height) × depth.
Calculate the volume of a trapezoidal prism with known area and the inclination angle of the trapezoid
If you know the area of the trapezoid and the inclination angle, you can determine the volume of the trapezoidal prism. Calculate the volume using the formula: volume = (2 × area × height) ÷ (base1 + base2 + sqrt(base1 × base2)) × sin(angle).