Question

both cubes have the same measurements shown.

1. what is the volume of each cube?

8 cm³
2×2×2=8

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

d=____ units?
cube a is made of the metal ______.

Explanation:

Problem 4: Volume of the Cube

Step 1: Recall the formula for the volume of a cube

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

Step 2: Identify the side length of the cube

From the diagram, the side length \( s \) of the cube is \( 2 \, \text{cm} \).

Step 3: Calculate the volume

Substitute \( s = 2 \) into the formula: \( V = 2^3 = 8 \, \text{cm}^3 \).

Step 1: Recall the formula for density

Density \( D \) is given by the formula \( D = \frac{\text{mass}}{\text{volume}} \).

Step 2: Identify the mass and volume of Cube A

The mass of Cube A is \( 36 \, \text{grams} \), and from Problem 4, the volume of Cube A (since it's a cube with side length \( 2 \, \text{cm} \)) is \( 8 \, \text{cm}^3 \).

Step 3: Calculate the density

Substitute the mass and volume into the formula: \( D = \frac{36}{8} = 4.5 \, \text{g/cm}^3 \).

Answer:

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

Problem 5: Density of Cube A