# How many liters in the bath?

In recent years, installation in bathrooms, especially small in size, compact shower enclosures, is gaining popularity. However, most people are not in a hurry to give up the pleasure of soaking up in a bathtub filled with warm water and fragrant foam. Children are especially pleased with this opportunity. So how many liters of water is consumed when taking one such water treatment? We understand.

## Standard bath 1.7 m and 1.5 m in liters

In the plumbing stores, where most of the inhabitants shop, more often there are baths of standard sizes in the shape of an elongated bowl with a small bevel under the back and sides upstairs. The outer edge of the sides forms a rectangle (for ease of installation in a corner or along a wall). It is such rather cumbersome sanitary facilities that are present in 90% (no less) of the apartments of our compatriots.

According to the data of metrologists, the volume of such a bath in a cast-iron version with a length of 1.5 m and a depth of 0.4 m is from 140 to 170 liters, depending on its width. If the length is 1.7 m, it can fit from 180 to 245 liters of water.

In the old housing stock sometimes there are "sedentary" baths of 1-1.2 m. Their volume is 95-100 l.

Attention! The length and width in this case imply the distance between the two outer opposite edges.

## How to measure the volume of your bath?

Capacity is usually spelled out in the documentation that is attached to the product upon purchase.

By the way! The passport usually indicates the occupancy rate to the overflow line.

If the document is lost (for example, plumbing 10 years or more), and you want to independently determine the volume of your bath, there are three options for how to do it.

In the presence of water meters use the easiest way.. Before the next water procedure, fix their exact readings on the paper (including all black and red numbers), then fill the bath. Then write down the new data and calculate the difference. This method is good because It does not depend on the shape of the bath and is suitable for any of its models., and the calculation itself is simple and will not take much time - just as much as water is collected, plus 2-3 minutes to solve a simple example.

By the way. In the absence of counters, the charge is carried out according to the standards, but they do not depend on the actual value of resource consumption, so you can pour water calmly.

If you want to train your brain, try the second method. It will require the following actions:

• first of all, figure out what kind of geometric shape the inner surface of your bath looks like (school stereometry knowledge for grade 10-11 will be useful);
• remember the formula for the volume of a parallelepiped, a ball, an ellipsoid, a cylinder, a truncated pyramid, etc .;
• make the necessary measurements and make calculations.

With this method of calculation, errors are inevitable, since only a few bowls can “boast” of an ideal geometric shape..

If you want to get the most reliable information about the litrage of the bath, stock up the canister (a 5-liter bottle will come down) and patience. Physical strength, of course, spend a lot, but the soul will be calm.

### Calculation example

Will consider simple option. Denote the initial readings of cold and hot water meters - a and b, and the final a1 and b1. To calculate how many liters of water are spent, use the template:

((a1 + b1) - (a + b))

An experiment in my bathroom:

a = 337960, b = 77750, a1 = 338100, b1 = 77840;

V = ((338100 + 77840) - (337960 + 77750)) = 230 l.

Difficult option. I have a standard cast iron bath of 170 × 70 × 40. Its internal form can be called conditionally parallelepiped (easier - rectangular).

I measure the required values ​​(at the level of the overflow line, in cm):

• L (length) = 150;
• B (width) = 55;
• H (height) = 30.

I substitute my numbers in the formula:

V = L × B × H = 150 × 55 × 30 = 247.5 l.

It turned out more than in previous calculations. It is understandable the narrowing and rounding of the surface downwards, on the sides and bevel of one of the walls was not taken into account. Hence the extra liters.

## Determine the size of various shapes and types of baths.

The capacity of each bath is determined primarily by its internal form.. Now in the plumbing market a lot of different models. With a rectangular bathroom figured out, consider other options.

### Rectangular with beveled sides

The volume of such a bath is calculated using the formula for a truncated pyramid (only in our case it is inverted):

V = 1 / 3H × ((L1 × B1 + L2 × B2 + √ ¯ (L1 × B1 × L2 × B2)),

where H is the height, L1 and B1 is the length and width of the bottom, L2 and B2 is the length and width of the water surface, √‾ is the square root.

### Round

Calculate the volume of half the ball:

V = (4/3 × π × R3): 2,

where R is half the diameter of the inner surface at the water level. The calculation will be almost perfect if this value coincides with the depth.

### Oval

If the bath is in the shape of a half ellipsoid (a ball that is flattened laterally and elongated in length), use the expression:

V = (4/3 × π × ½L × ½B × H): 2

π = 3.14, ½L, ½B and H, respectively, half the length, half the width and height. In case of equality of the last two indicators, the result will be more likely.

If the bottom is not sloping, but flat, we calculate the volume of the cylinder with an oval base:

V = π × ½L × ½B × H,

using the same measurements as in the previous case.

### Corner

We assume that its shape is similar to a quarter of a normal or elliptical cylinder.

For the symmetrical version:

V = (π × R2 × H): 4,

where R is the length of one of the inner walls running from the corner of the bathroom (they are the same), and H is the depth.

For asymmetric model:

V = (π × L × B × H): 4,

where L is the length of the larger wall, B is the smaller wall, H is the depth.

### Custom baths

These include specimens with bevels on one side or bizarre bends. The greatest difficulty arises with the measurement of precisely such baths. Their forms are sometimes amenable to "dismemberment" (conditionally, of course) into two or more components from regular geometric shapes, then you have to create a complex combination of different formulas. Puzzle lovers can try (nothing is impossible for a person with intelligence). However, I recommend to return to the first method of measurement with the use of meter readings.

### Baby bath

As a rule, it resembles a standard rectangular or oval. You can use the formulas given above, but it is much easier to establish the truth empirically. The volume of this capacity does not exceed, as a rule, 35 liters. It is recommended to bathe newborns in boiled water, and at first it is not necessary to pour the bath to the brim. So prepare in advance 2-3 containers of 5 liters, boil the rest just before bathing and determine which engine capacity is needed for bathing your baby.

## How much water is needed to take a bath?

For one water treatment, 100-150 liters of water is sufficient, if the bath is not more than 170 cm in length. You can pour up the hole overflow, but you need to remember about the law of Archimedes. To paraphrase it like this: the larger the body placed in the bath, the more water it will displace from there. Love to save - pour as much as necessary for a full immersion, nothing more.

In Russia, unlike in many European countries, the charge per cubic meter of water is quite democratic according to meters. Therefore, many people think about saving less than about personal comfort, which gives you the opportunity to relax in your favorite bath after a busy day.