The Density Of Iron Is 7.87 G/Ml, What Is The Mass Of A 3.00 Cm × 4.00 Cm × 1.00 Cm Block Of Iron?

This article aims to address the question of determining the mass of a block of iron with dimensions 3.00 cm × 4.00 cm × 1.00 cm, given its density as 7.87 g/ml.

By understanding the concept of density and its relationship with mass and volume, we can apply the density formula to calculate the mass accurately.

The objective and impersonal approach utilized in this article ensures a neutral perspective, focusing solely on providing an informed solution to the stated problem.

The Density Of Iron Is 7.87 G/Ml, What Is The Mass Of A 3.00 Cm × 4.00 Cm × 1.00 Cm Block Of Iron?

To calculate the mass of the iron block, you can use the formula:

Mass = Density × Volume

Given the density of iron as 7.87 g/mL and the dimensions of the block as 3.00 cm × 4.00 cm × 1.00 cm (which gives a volume of 12.00 cm³), the mass would be:

Mass = 7.87 g/mL × 12.00 cm³ = 94.44 g

Key Takeaways

  • Density is the mass of a substance per unit volume.
  • The formula for density is Density = Mass/Volume.
  • Density helps determine the compactness or spread-out nature of a material.
  • Density is used in construction and engineering.

Understanding the Concept of Density

The concept of density, which refers to the mass of a substance per unit volume, is crucial for determining the density of different materials. By measuring both the mass and volume of an object, one can calculate its density using the formula: Density = Mass/Volume. This calculation allows us to understand how compact or spread out a material is.

Understanding the concept of density is not only important for scientific purposes but also has practical applications in everyday life. For example, it helps in identifying counterfeit materials by comparing their densities with those of genuine products. It also plays a role in construction and engineering, as it determines whether a material will float or sink in fluids such as water.

Additionally, density is significant in meteorology for predicting weather patterns based on temperature variations at different altitudes.

The Relationship Between Mass and Volume

When considering the relationship between two physical properties, such as mass and volume, calculations can be performed to determine one property based on the other. In the context of density, which is defined as the mass per unit volume of a substance, this relationship becomes evident. Density is often expressed in grams per milliliter (g/ml) or grams per cubic centimeter (g/cm³), but it can also be measured in other units such as kilograms per liter (kg/L). Additionally, it is important to note that density is affected by temperature. As temperature increases, substances generally expand and their density decreases. Conversely, as temperature decreases, substances contract and their density increases. This effect of temperature on density should be taken into consideration when performing calculations involving this physical property.

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This table provides an overview of the different units commonly used to express mass, volume, and density.

Applying the Density Formula

One way to apply the formula for calculating density is by substituting the known values of mass and volume into the equation.

Density, which is defined as the mass per unit volume of a substance, has various applications in everyday life. It is used in industries such as construction, engineering, and chemistry to determine the suitability of materials for specific purposes.

For example, in construction, knowing the density of different building materials helps engineers choose suitable materials based on their strength-to-weight ratio. Factors affecting the density of different materials include their composition and structure. Materials with tightly packed particles tend to have higher densities compared to those with loosely packed particles.

Additionally, changes in temperature and pressure can also affect the density of substances. Understanding these factors allows scientists and engineers to predict how a material’s density may change under different conditions and make informed decisions regarding its use in practical applications.

Calculating the Mass of the Iron Block

To calculate the mass of the given object, the formula for density can be rearranged by multiplying both sides of the equation by volume. By rearranging the formula, we obtain mass = density × volume.

In this case, the density of iron is given as 7.87 g/ml.

To find the mass of a block of iron with dimensions 3.00 cm × 4.00 cm × 1.00 cm, we need to convert the volume from cubic centimeters (cm³) to milliliters (ml), since our density is in grams per milliliter (g/ml).

The conversion factor between these two units is that 1 ml equals 1 cm³. Therefore, we can directly substitute the values into our formula:

mass = 7.87 g/ml × (3.00 cm × 4.00 cm × 1.00 cm) = 94.44 g.

Keywords: calculating density accurately, different units of density measurement

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