Advice 1: How to calculate volume of a rectangle

Some students started to learn solid geometry, confusing three-dimensional and flat shape. For example, the ball is sometimes called a circle, cube, square, and rectangular parallelepiped – just a rectangle. Accordingly, such students often try to calculate the volume of a rectangle or square of a cube.
How to calculate volume of a rectangle
You will need
  • - the range;
  • calculator.
If the student is trying to calculate the volume of a rectangle, specify: what kind of specific figure in question – the rectangle or its volumetric equivalent, rectangular parallelepiped. Find out: what is required to find the conditions of the problem – the volume, area or length. In addition, find out what part of the figure is a view of the whole figure, face, edge, vertex, face or cross-section plane.
To calculate the volume of a rectangular container, multiply between its length, width and height (thickness). That is, use the formula:

V = a * b * c,

where: a, b and C are its length, width and height of the box (respectively), and V is its volume.

All their sides are pre-reduced to one unit, then the volume of the parallelepiped obtained in relevant "cubic" units.

What will be the capacity of the water tank having dimensions:
length – 2 meters;
width – 1 meter 50 centimeters;
height – 200 cm.


1. Given the lengths of the sides to meters: 2; 1,5; 2.
2. Multiply the resulting numbers: 2 * 1,5 * 2 = 6 (cubic meters).
If we are in the task is still on the rectangle, you probably want to calculate its area. To do this, simply multiply the length of the rectangle by its width. That is, apply the formula:

S = a * b,

a and b are the lengths of the sides of the rectangle
S – the area of a rectangle.

Use this same formula if the problem is considered a face of a rectangular parallelepiped according to the definition, it also has the shape of a rectangle.

The volume of a cube is 27 m3. What is the area of the rectangle formed by the face of the cube?


The edge length of the cube (which is also a rectangular parallelepiped) is equal to the cubic root of its volume, i.e. 3 m. Therefore, the area of one side (a square) is equal to 3 * 3 = 9 m2.

Advice 2: How to calculate the volume

The volume is the space occupied by the body. To calculate the correct volume of the object, which can easily determine the parameters (length, width, height) easy. It is only necessary to multiply the found value. To determine the volume of arbitrary shapes is much more difficult.
How to calculate the volume
A method of measuring the volume of the object with water was open to the Greek scientist Archimedes. To determine the volume of any body need to take a container of liquid, it is better if the container is transparent. The vessel must be applied to the scale division and to measure the volume occupied by water. After that, the water should immerse the body whose volume you want to learn. As soon as the water rises, you must mark the new level. The difference in levels, obtained by measurement and is equal to the volume of the immersed body.
In addition, it is possible to determine the volume of the object by measuring the amount of water displaced by it. For this purpose, in a vessel brim full of water, it is necessary to load the body. With the displaced water should be poured into another container and measure the volume, which will be equal to the desired volume of the body.
When finding the volume of a hollow body you can also use the water. For this you need to fill it are available, subject, and then pour the water into a glass, which is applied to the scale division. The measured body volume is equal to the volume of contained water in it.
You can calculate the volume of any body, knowing its density and mass. It is necessary to divide the available mass of the object on its density. To know the density of the material from which made a particular item from the reference table "Density of solids".
To calculate some of the figures are derived mathematical formulas. For example, for finding the volume of a cylinder we need to know its radius and height. The volume of a cylinder you will receive by works of "PI" to the square of the radius and height of the body (V=π*R2*H).
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