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A clay plate has a volume of 150cubic centimeters and a density of 2.4gramspercubic centimeter. What is its mass?

Question

A clay plate has a volume of 150 cubic centimeters and a density of 2.4 grams per cubic centimeter. What is its mass?

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Solution

1. Break Down the Problem

We need to find the mass of the clay plate given its volume and density. The mass can be calculated using the formula: Mass=Density×Volume \text{Mass} = \text{Density} \times \text{Volume}

2. Relevant Concepts

  • Density: The mass per unit volume of a material.
  • Volume: The amount of space that a substance occupies.

3. Analysis and Detail

Given:

  • Volume V=150cm3 V = 150 \, \text{cm}^3
  • Density D=2.4g/cm3 D = 2.4 \, \text{g/cm}^3

We will substitute these values into the mass formula:

Mass=2.4g/cm3×150cm3 \text{Mass} = 2.4 \, \text{g/cm}^3 \times 150 \, \text{cm}^3

Calculating the multiplication:

Mass=2.4×150=360grams \text{Mass} = 2.4 \times 150 = 360 \, \text{grams}

4. Verify and Summarize

We confirm the calculation:

  • 2.4×150=360 2.4 \times 150 = 360 is accurate.

Final Answer

The mass of the clay plate is 360grams 360 \, \text{grams} .

This problem has been solved

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