We appreciate your visit to An artisan has 63 kg of metal with a density of tex 7000 text kg m 3 tex He intends to use it to make. 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 :
Sure! Let's break down how to find the height of the rectangular piece of metal.
1. Understanding the Problem:
- We have a piece of metal that weighs 63 kg.
- The density of the metal is given as 7000 kg/m³.
- The rectangular piece of metal has external dimensions of 12 cm by 15 cm.
- We need to figure out the height of this rectangular piece.
2. Concepts to Use:
- Density is defined as mass divided by volume. We can rearrange this formula to calculate the volume of the metal: Volume = Mass / Density.
- The volume of a rectangular prism (like our metal piece) can also be computed by multiplying its length, width, and height: Volume = Length × Width × Height.
3. Calculation Steps:
- Step 1: Find the Volume of the Metal
- Use the formula for volume: Volume = Mass / Density
- Given: Mass = 63 kg, Density = 7000 kg/m³
- Volume = 63 kg / 7000 kg/m³ = 0.009 m³
- Step 2: Convert Length and Width from Centimeters to Meters
- Length = 12 cm = 12 / 100 meters = 0.12 meters
- Width = 15 cm = 15 / 100 meters = 0.15 meters
- Step 3: Calculate the Height of the Rectangular Piece
- Using the formula for the volume of a rectangular prism: Volume = Length × Width × Height
- Rearrange to find Height: Height = Volume / (Length × Width)
- Plug the known values: Height = 0.009 m³ / (0.12 m × 0.15 m) = 0.5 meters
- Step 4: Convert Height from Meters to Centimeters
- Height = 0.5 meters = 0.5 × 100 centimeters = 50 centimeters
So, the height of the rectangular metal piece is 50 centimeters.
1. Understanding the Problem:
- We have a piece of metal that weighs 63 kg.
- The density of the metal is given as 7000 kg/m³.
- The rectangular piece of metal has external dimensions of 12 cm by 15 cm.
- We need to figure out the height of this rectangular piece.
2. Concepts to Use:
- Density is defined as mass divided by volume. We can rearrange this formula to calculate the volume of the metal: Volume = Mass / Density.
- The volume of a rectangular prism (like our metal piece) can also be computed by multiplying its length, width, and height: Volume = Length × Width × Height.
3. Calculation Steps:
- Step 1: Find the Volume of the Metal
- Use the formula for volume: Volume = Mass / Density
- Given: Mass = 63 kg, Density = 7000 kg/m³
- Volume = 63 kg / 7000 kg/m³ = 0.009 m³
- Step 2: Convert Length and Width from Centimeters to Meters
- Length = 12 cm = 12 / 100 meters = 0.12 meters
- Width = 15 cm = 15 / 100 meters = 0.15 meters
- Step 3: Calculate the Height of the Rectangular Piece
- Using the formula for the volume of a rectangular prism: Volume = Length × Width × Height
- Rearrange to find Height: Height = Volume / (Length × Width)
- Plug the known values: Height = 0.009 m³ / (0.12 m × 0.15 m) = 0.5 meters
- Step 4: Convert Height from Meters to Centimeters
- Height = 0.5 meters = 0.5 × 100 centimeters = 50 centimeters
So, the height of the rectangular metal piece is 50 centimeters.
Thanks for taking the time to read An artisan has 63 kg of metal with a density of tex 7000 text kg m 3 tex He intends to use it to make. 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
