Question

a student measured the two metal cubes pictured. both cubes have the same measurements shown.

1. what is the volume of each cube?

8 cm³
(calculation: 2×2×2=8)

1. cube a has a mass of 36 grams. what is its density?

d=4.5 g/cm³ units?
cube a is made of the metal ______.

1. cube b has a mass of 72 grams. what is its density?

table: metal | density (g/cm³)
silver | 10.5
aluminum | 2.7
steel | 7.6
titanium | 4.5
gold | 19.3
copper | 9

Explanation:

Question 4:

Step1: Recall cube volume formula

The volume \( V \) of a cube is given by \( V = s^3 \), where \( s \) is the side length.

Step2: Substitute side length

From the diagram, the side length \( s = 2 \, \text{cm} \). So, \( V = 2^3 = 8 \, \text{cm}^3 \).

Step1: Recall density formula

Density \(
ho = \frac{m}{V} \), where \( m \) is mass and \( V \) is volume.

Step2: Identify values

Mass \( m = 36 \, \text{g} \), volume \( V = 8 \, \text{cm}^3 \) (from Question 4).

Step3: Calculate density

\(
ho = \frac{36}{8} = 4.5 \, \text{g/cm}^3 \).

Step1: Recall density formula

Density \(
ho = \frac{m}{V} \), where \( m \) is mass and \( V \) is volume.

Step2: Identify values

Mass \( m = 72 \, \text{g} \), volume \( V = 8 \, \text{cm}^3 \) (same as cube A, since both have same measurements).

Step3: Calculate density

\(
ho = \frac{72}{8} = 9 \, \text{g/cm}^3 \).

Answer:

\( 8 \, \text{cm}^3 \)

Question 5: