Solides

Pour aller plus loin (Ancien programme) - Mathématiques 4e

Exercice 1 : Additionner 2 longueurs entières dans 2 unités différentes (du cm au dam), résultat en mm

Combien fait la somme de \(37\:\text{cm}\) et \(29\:\text{m}\) en mm ?

Exercice 2 : 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 Hayward (États-Unis).

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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 Hayward

Donner les coordonnées géographique de la ville de Hayward (États-Unis).
Par exemple:

Pour la ville de Newcastle (Australie) on donnera une réponse de la forme \(\left(33° S; 152° E\right)\)

Pour la ville de Vârânasî (Inde) on donnera une réponse de la forme \(\left(25° N; 83° E\right)\)

Exercice 3 : 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 Berdyans’k (Ukraine).

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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 Berdyans’k

Sachant que \( \widehat{ABD} = 37 ° \), \( \widehat{ECD} = 47 ° \), \( \widehat{SCE} = 90 ° \) et \( \widehat{DCN} = 43 ° \), donner la longitude de la ville de Berdyans’k (Ukraine).
Exemples de format de réponses attendu : \(80°N\), \(60°S\), \(80°E\) ou \(20°O\)

Exercice 4 : Calcul de la hauteur d'un cylindre de révolution

Calculer la hauteur d'une boîte de conserve cylindrique d'un volume de \( 1078 cm^{3} \) et de \( 7 cm \) de rayon.
On donnera un résultat arrondi au centimètre près, suivi de l'unité qui convient.

Exercice 5 : Convertir des longueurs entières ou décimales (du mm au km)

Convertir \(0,28\) \(km\) en \(cm\).

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