 # Volumes: 3rd grade math course to print in PDF.

The course on the formulas of the volume of a solid and the study of sections of solids in space with situations of reduction or enlargement in third grade (3ème) is essential for the progression of the student.
The student will need to know the formulas by heart and know how to represent solids in space with the cavalier perspective or know how to draw his pattern. The student must also develop skills in the volume of solids by performing conversions of magnitudes or by applying the formulas for the volume of a cube, a right block, a cone or a pyramid.

We will finish this lesson on volumes and sections of solids with concrete examples from everyday life in the third grade.

## I. Formulas for calculating volumes of solids in space ## II. Plane sections of solids

### 1. section of a right block by a plane

Property 1:

The section of a right block by a plane (P) parallel to a face is an identical rectangle
to this face: ## II. Enlargements and reductions

Definition:

When two figures have the same shape, we can calculate the following coefficient: • if k >1, it is said to be an enlargement;
• if k <1, we say that it is a reduction.
Property 7:

In an enlargement or reduction of ratio k :

• the lengths are multiplied by k ;
• the areas are multiplied by ;
• volumes are multiplied by .

Example:

Consider a pyramid of volume undergoing an enlargement of ratio k=4

then the volume V’ after enlargement of this pyramid will be: .

Télécharger puis imprimer cette fiche en PDF

Télécharger ou imprimer cette fiche «volumes: 3rd grade math course to print in PDF.» au format PDF afin de pouvoir travailler en totale autonomie.

## D'autres articles analogues à volumes: 3rd grade math course to print in PDF.

Les dernières fiches mises à jour

Voici la liste des derniers cours et exercices ajoutés au site ou mis à jour et similaire à volumes: 3rd grade math course to print in PDF. . Mathématiques Web c'est 2 146 110 fiches de cours et d'exercices téléchargées.

Copyright © 2008 - 2023 Mathématiques Web Tous droits réservés | Mentions légales | Signaler une Erreur | Contact

.
Scroll to Top
Mathématiques Web

FREE
VIEW