Saturday, February 7, 2015

Snow Problem

Snow Problem


While we were shoveling, Himself wondered how much snow he had shoveled. Those are the kinds of things a mathlete thinks about. He decided to give his students an extra credit problem based on the following data. Can you solve the problems? Don't forget to show your work.


Data:

Driveway                                               rectangle 95 ft x 17 ft
Avg snow depth - Storm 1/27/2015     24 in.
Avg snow depth - Storm 2/2/2015       15 in
1 shovel of snow                                   1 bucket
bucket                                                   cylinder: 35 cm in length and 30 cm in diameter
mass of bucket                                      1.9 lbs
mass of bucket + snow                         10.1 lbs
time shoveling snow - Storm 1             4.5 hrs
time shoveling snow - Storm 2             4.0 hrs
Calories burned shoveling by
hand                                                      549 Cal/hr


What is the total volume of snow on the driveway for the two storms, (in cm3)?
     
What is the volume of 1 bucket of snow, (in cm3)?

What is the total number of shovels of snow for the two storms?

What is the mass, in grams, of snow in 1 bucket?


What is the average density of the snow, (in g/cm3)?

What is the total mass of snow shoveled in the two storms, (in metric tonnes)?

How many Calories did I burn while shoveling for the two storms?

3 comments:

  1. When I was in high school I would have been so excited to work through this problem. Today, surfing the web is much more attractive than exercising my brain.

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    Replies
    1. :-D My answer: I was an English major. You do the math

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  2. OMG! My head hurts just reading the questions! :(

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