 Math course on the right block and the calculation of volume in 6th grade (6ème). In this lesson, we will develop the definition and units of volume. Skills in geometry in space, the student will be able to draw in three dimensions but also to use the cavalier perspective in order to represent it through a diagram. The construction of the pattern and other solids will be required as well as the mastery of the formula to calculate the volume of a rectangular parallelepiped in geometry in the sixth grade. Conversions on volumes to master in order to develop calculation skills.

## I. Volume of a right block

### 1.volume units

Definition:

A unit of volume often used is the cubic meter .1 is the volume of a cube with an edge of 1 m.

Other units of volume are also used, in particular :

• the cubic decimeter is the volume of a cube of 1 dm of edge;
• the cubic centimeter is the volume of a cube of 1 cm of edge;
• the cubic millimeter is the volume of a cube of 1 mm of edge; ### 2.volume of a rectangular parallelepiped by enumeration

Example:

We fill the rectangle parallelepiped below completely with cubes of 1 cm edge.

At the bottom of the cube, 5 rows of 4 small cubes are placed.

5×4=20, so there are 20 small cubes at the bottom of the right block.

In the right block, 3 of these layers are superimposed.

3×20=60, so the cube contains 60 cubes of edge 1 cm.

The volume of this rectangular parallelepiped is therefore 60 . ### 3.volume and formula Example:

A rectangular parallelepiped has length 12 cm, width 5 cm and height 7 cm.

The volume of this rectangular parallelepiped is :  ## Have you assimilated this course on the right block and the calculation of volumes in 6th grade?

Le pavé droit et calcul de volumes

QCM de maths sur le pavé droit et calcul de volumes en 6ème.

Things to remember:

Skills to learn about the right block: • To know the definition of the right block (also called the parallelepiped);
• Know the formula for volume;
• Know how to convert volumes;
• To represent the pattern of a rectangular parallelepiped;
• Solve problems.

This course is in accordance with the official programs of thenational education.

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