We appreciate your visit to A block of metal has dimensions of tex 2 00 times 5 50 times 1 25 text cm tex and a mass of 37 1. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To find the density of the block of metal, we need to first understand what density is. Density is defined as mass per unit volume. The formula to calculate density is:
[tex]\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \][/tex]
Let's break down the steps to solve the problem:
1. Determine the Volume:
- The volume of a rectangular block can be found using the formula:
[tex]\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \][/tex]
- Plugging in the values:
[tex]\[ \text{Volume} = 2.00 \, \text{cm} \times 5.50 \, \text{cm} \times 1.25 \, \text{cm} \][/tex]
- This gives us:
[tex]\[ \text{Volume} = 13.75 \, \text{cm}^3 \][/tex]
2. Determine the Density:
- Given that the mass of the block is 37.1 grams, we use the density formula:
[tex]\[ \text{Density} = \frac{37.1 \, \text{g}}{13.75 \, \text{cm}^3} \][/tex]
- Calculating this gives approximately:
[tex]\[ \text{Density} \approx 2.698 \, \frac{\text{g}}{\text{cm}^3} \][/tex]
3. Choose the Nearest Density Choice:
- Comparing the calculated density of approximately 2.698 g/cm³ to the given options, the closest value is:
[tex]\[ 2.69 \, \frac{\text{g}}{\text{cm}^3} \][/tex]
So, the correct answer for the density of the block is [tex]\(2.69 \, \frac{g}{cm^3}\)[/tex].
[tex]\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \][/tex]
Let's break down the steps to solve the problem:
1. Determine the Volume:
- The volume of a rectangular block can be found using the formula:
[tex]\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \][/tex]
- Plugging in the values:
[tex]\[ \text{Volume} = 2.00 \, \text{cm} \times 5.50 \, \text{cm} \times 1.25 \, \text{cm} \][/tex]
- This gives us:
[tex]\[ \text{Volume} = 13.75 \, \text{cm}^3 \][/tex]
2. Determine the Density:
- Given that the mass of the block is 37.1 grams, we use the density formula:
[tex]\[ \text{Density} = \frac{37.1 \, \text{g}}{13.75 \, \text{cm}^3} \][/tex]
- Calculating this gives approximately:
[tex]\[ \text{Density} \approx 2.698 \, \frac{\text{g}}{\text{cm}^3} \][/tex]
3. Choose the Nearest Density Choice:
- Comparing the calculated density of approximately 2.698 g/cm³ to the given options, the closest value is:
[tex]\[ 2.69 \, \frac{\text{g}}{\text{cm}^3} \][/tex]
So, the correct answer for the density of the block is [tex]\(2.69 \, \frac{g}{cm^3}\)[/tex].
Thanks for taking the time to read A block of metal has dimensions of tex 2 00 times 5 50 times 1 25 text cm tex and a mass of 37 1. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
