For an average snowfall the density of the snow could be 0.6 g/cm3. For a 15 cm snowfall what mass of snow would you shovel from a driveway 10m long and 3m wide?
could you show me the steps using the format GRASS?
given,required,analysis,solution,statement?
thanks for you help :)
Certainly! Here are the steps to solve the problem using the GRASS format:
Given:
- Snow density: 0.6 g/cm³
- Snowfall depth: 15 cm
- Driveway length: 10 m
- Driveway width: 3 m
Required:
- Mass of snow to be shoveled from the driveway
Analysis:
To find the mass of snow, we need to calculate the volume of snow using the formula: volume = length × width × depth. Then, we can multiply the volume by the density to obtain the mass.
Solution:
1. Convert the snowfall depth from centimeters to meters:
15 cm ÷ 100 = 0.15 m
2. Calculate the volume of the snow:
volume = length × width × depth
volume = 10 m × 3 m × 0.15 m
volume = 4.5 m³
3. Convert the volume from cubic meters to cubic centimeters (1 m³ = 1,000,000 cm³):
4.5 m³ × 1,000,000 cm³/m³ = 4,500,000 cm³
4. Calculate the mass of the snow:
mass = volume × density
mass = 4,500,000 cm³ × 0.6 g/cm³
mass = 2,700,000 g or 2,700 kg (since 1 kg = 1000 g)
Statement:
The mass of snow that needs to be shoveled from the driveway is 2700 kg.
I hope this explanation helps! Let me know if you have any further questions.
10 m x 3 m = 1000 cm x 300 cm so the volume is 1000 x 300 x 15 = ?? cubic centimeters or cc.
mass = density x volume
mass = 0.6 g cc x volume = ?? grams