Pour aller plus loin (Ancien programme) - 4e
Solides
Exercice 1 : Calcul d'une hauteur à partir du volume d'un cylindre de révolution
Un cylindre de révolution a un volume de \( 55720 cm^{3} \) et l'aire de sa base est de \( 796 cm^{2} \).
Quelle est sa hauteur?On donnera la réponse suivie de l'unité qui convient.
Exercice 2 : Convertir contenances et volumes (multiples et sous-multiples du m^3 et du L)
Convertir \( 85\:cm^{3} \) en \( L \).
On écrira la réponse sous la forme d'un entier ou d'un nombre décimal non entier.
On écrira la réponse sous la forme d'un entier ou d'un nombre décimal non entier.
Exercice 3 : Lire les coordonnées géographique d'une ville sur terre à partir des parallèles et méridiens
Sur le schéma ci-dessous, le point D symbolise la ville de Portoviejo (Équateur).
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On pourra faire pivoter la figure en cliquant dessus.
Légende
- Méridien d'origine Greenwich 0°
- Méridiens (espacés de 20°)
- Équateur 0°
- Parallèles (espacés de 20°)
- N : Pôle nord
- S : Pôle sud
- D : Ville de Portoviejo
Donner les coordonnées géographique de la ville de Portoviejo (Équateur).
Par exemple:
Par exemple:
- Pour la ville de Jequié (Brésil) on donnera une réponse de la forme \(\left(14° S; 40° O\right)\)
- Pour la ville de Toula (Russie) on donnera une réponse de la forme \(\left(54° N; 38° E\right)\)
Exercice 4 : Lire latitude ou longitude d'une ville sur terre à partir des angles
Sur le schéma ci-dessous, le point D symbolise la ville de Samara (Russie).
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On pourra faire pivoter la figure en cliquant dessus.
Légende
- Méridien d'origine Greenwich 0°
- Méridien du point D
- Équateur 0°
- Parallèle du point D
- N : Pôle nord
- S : Pôle sud
- C : Centre de la terre
- D : Ville de Samara
Sachant que \( \widehat{SCE} = 90 ° \), \( \widehat{ABD} = 50 ° \), \( \widehat{DCN} = 37 ° \) et \( \widehat{ECD} = 53 ° \), donner la longitude de la ville de Samara (Russie).
Exemples de format de réponses attendu : \(80°N\), \(60°S\), \(80°E\) ou \(20°O\)
Exemples de format de réponses attendu : \(80°N\), \(60°S\), \(80°E\) ou \(20°O\)
Exercice 5 : Additionner 2 longueurs entières dans 2 unités différentes (du cm au dam), résultat en mm
Combien fait la somme de 29 dm et 14 m en mm ?