You want to measure the volume of a vase which has an unusual shape as it was uniquely crafted by a master glassblower, making it impossible to use any mathematical formula for the calculations.

One way to measure the volume of the vase is to use the displacement method. Here's how you can do it:

1. Fill a large container with water, making sure it is deep enough to fully submerge the vase.

2. Place the vase carefully into the container, ensuring that no water spills out.

3. As the vase is submerged, the water level in the container will rise. Use a measuring cup or a measuring cylinder to measure the amount of water that has been displaced by the vase.

4. The volume of the vase is equal to the amount of water displaced by the vase. You can now use this measurement as the volume of the vase.

This method may not be as precise as using a mathematical formula, but it can give you a good estimate of the volume of the vase.

Method 1: Water Displacement

Materials:

- Water
- Graduated cylinder or measuring cup
- Funnel (optional)

Procedure:

1. Fill the graduated cylinder or measuring cup with a known volume of water.
2. Place the funnel (if using) over the vase to prevent water from splashing out.
3. Slowly pour water from the graduated cylinder into the vase until it is full.
4. Record the difference in the water level before and after pouring. This difference represents the volume of the vase.

Method 2: Sand or Gravel

Materials:

- Sand or fine gravel
- Container with a known volume
- Funnel
- Scale

Procedure:

1. Fill the container with a known volume of sand or gravel.
2. Place the funnel over the vase and pour the sand or gravel into it until it is full.
3. Remove the vase from the funnel and weigh the remaining sand or gravel.
4. Calculate the volume of the vase by dividing the weight of the remaining sand or gravel by its density. The density of sand or gravel can be found online or measured using a simple experiment.

Method 3: 3D Scanning

Materials:

- 3D scanner

Procedure:

1. Use a 3D scanner to scan the vase.
2. Import the scan data into a 3D modeling software.
3. Use the software to calculate the volume of the vase.

Tips:

- Ensure the vase is clean and dry before measuring its volume.
- Repeat the measurement several times to ensure accuracy.
- If the vase has a narrow opening, use a funnel to prevent water or sand from spilling out.
- Consider the weight of the water or sand that remains in the vase after pouring or weighing. This must be subtracted from the total volume to get the actual volume of the vase.