Question

1. raisonner. vous travaillez pour une compagnie d’avions qui utilise l’aluminium pour fabriquer des pièces, car sa densité est faible et c’est un métal fort. un nouveau design du volet (une pièce de l’aile) d’un avion utilisera 1 200 cm³ d’aluminium. quelle masse d’aluminium dois - tu acheter? suis le processus de travail de mathématiques pour ta solution.

Explanation:

To solve this problem, we need to find the mass of aluminum required, given its volume and density. The density of aluminum is a known constant, \(
ho = 2.7 \, \text{g/cm}^3 \) (this is a standard value for the density of aluminum). The formula that relates mass (\( m \)), density (\(
ho \)), and volume (\( V \)) is:

\[
m =
ho \times V
\]

Step 1: Identify the given values

• Volume of aluminum, \( V = 1200 \, \text{cm}^3 \)
• Density of aluminum, \(

ho = 2.7 \, \text{g/cm}^3 \) (standard density of aluminum)

Step 2: Apply the density formula

Using the formula \( m =
ho \times V \), substitute the known values:

\[
m = 2.7 \, \text{g/cm}^3 \times 1200 \, \text{cm}^3
\]

Step 3: Calculate the mass

Multiply the density by the volume:

\[
m = 2.7 \times 1200
\]
\[
m = 3240 \, \text{grams}
\]
(or \( 3.24 \, \text{kilograms} \) if we convert to kilograms, but the problem likely expects grams or kilograms; grams is more precise here)

Answer:

The mass of aluminum you need to buy is \( \boldsymbol{3240 \, \text{grams}} \) (or \( \boldsymbol{3.24 \, \text{kg}} \)).