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Greeley [361]
3 years ago
11

Un parallelepipedo rettangolo ha una dimensione di base di 15 cm e l'altra è i 35 della prima. L'area totale misura 750 cm2. Di

L'area laterale; L'altezza del parallelepipedo; Il volume. calcola
Mathematics
1 answer:
vagabundo [1.1K]3 years ago
3 0

Answer:

1. Suprafața laterală este de 480 cm²

2. Înălțimea paralelipipedului este de 4,8 cm

3. Volumul paralelepipedului este de 648 cm³

Step-by-step explanation:

Un paralelipiped dreptunghiular are dimensiunea bazei de 15 cm, iar celălalt este 35 din primul. Suprafața totală măsoară 750 cm2. Din zona laterală; Înălțimea paralelipipedului; Volumul. Calcol

Aici avem

Dimensiunile bazei sunt;

a = 15 cm

b = 3/5 × 15 = 9 cm

c = Obligatoriu

De asemenea suprafața totală = 750 cm²

∴ deoarece suprafața totală = 2 · a · b + 2 · b · c + 2 · a · c

2 × 15 × 9 + 2 × 35 × c + 2 × 15 × c = 750

270 + 70 · c + 30 · c = 750

100 · c = 480

c = 4,8 cm

Suprafața laterală reprezintă suprafața totală mai puțin zona de sus și de jos

Prin urmare;

1. Suprafața laterală = 750 - 2 × 15 × 9 = 480 cm²

2. Înălțimea paralelipipedului = c = 4,8 cm

3. Volumul paralelipipedului = aria bazei × înălțimea

∴ Volumul paralelipipedului = 15 × 9 × 4,8 = 648 cm³.

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