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using the formula for density, where density = mass divided by volume (…

Question

using the formula for density, where density = mass divided by volume (d=m/v), calculate the density of the objects in the table below.
object | mass | volume | density
ping pong ball | | 33.5 cm³ |
wooden block | | |
large glass marble | | 8.2 cm³ |

Explanation:

Response

To calculate the density, we need the mass of each object (which is missing in the provided table). Assuming we have the mass values (for example, let's assume typical masses: Ping Pong Ball mass \( m_{pp} = 2.7 \, \text{g} \), Large Glass Marble mass \( m_{gm} = 20 \, \text{g} \); the Wooden Block's mass and volume are unclear, so we'll focus on the two with partial data):

Ping Pong Ball:

Step1: Identify formula

Density formula: \( d = \frac{m}{v} \)

Step2: Substitute values

Mass \( m = 2.7 \, \text{g} \), Volume \( v = 33.5 \, \text{cm}^3 \)
\( d_{pp} = \frac{2.7}{33.5} \approx 0.0806 \, \text{g/cm}^3 \)

Large Glass Marble:

Step1: Identify formula

Density formula: \( d = \frac{m}{v} \)

Step2: Substitute values

Mass \( m = 20 \, \text{g} \), Volume \( v = 8.2 \, \text{cm}^3 \)
\( d_{gm} = \frac{20}{8.2} \approx 2.44 \, \text{g/cm}^3 \)

Note:

The Wooden Block’s density cannot be calculated without its mass and volume. If you provide the missing mass values, we can compute all densities accurately.

(If using actual measured masses, replace the assumed values with real data and recalculate.)

Answer:

To calculate the density, we need the mass of each object (which is missing in the provided table). Assuming we have the mass values (for example, let's assume typical masses: Ping Pong Ball mass \( m_{pp} = 2.7 \, \text{g} \), Large Glass Marble mass \( m_{gm} = 20 \, \text{g} \); the Wooden Block's mass and volume are unclear, so we'll focus on the two with partial data):

Ping Pong Ball:

Step1: Identify formula

Density formula: \( d = \frac{m}{v} \)

Step2: Substitute values

Mass \( m = 2.7 \, \text{g} \), Volume \( v = 33.5 \, \text{cm}^3 \)
\( d_{pp} = \frac{2.7}{33.5} \approx 0.0806 \, \text{g/cm}^3 \)

Large Glass Marble:

Step1: Identify formula

Density formula: \( d = \frac{m}{v} \)

Step2: Substitute values

Mass \( m = 20 \, \text{g} \), Volume \( v = 8.2 \, \text{cm}^3 \)
\( d_{gm} = \frac{20}{8.2} \approx 2.44 \, \text{g/cm}^3 \)

Note:

The Wooden Block’s density cannot be calculated without its mass and volume. If you provide the missing mass values, we can compute all densities accurately.

(If using actual measured masses, replace the assumed values with real data and recalculate.)