Overview
Measuring the world project
The formula format used was length x width x depth.
The measurements we took were the length, width and depth of the pool plus we had to split the pool into two areas because of a size difference in the depth of the pool (shallow and deep end). When we split up the pool we made 2 rectangular prisms, area A the shallow end and area B the deep end. When doing that we had to split the length where the depth changed. So the overall pool length is 40ft in length (15ft for area A and 25ft for area B) , 20 ft in width, and area A is 5ft in depth and area B is 9ft in depth. The formula for area A is 15ft x20ft x 5ft = 1,500cuft. The formula for area B is 25ft x 20ft x 9ft =4,500cuft. Once we found the 2 volumes we added them together 4,500cuft + 1,500cuft and got the full volume which is 6,000cuft.
***Fun fact= So if we were to fill the pool with water it would take aprx 44,883 gallons of water. The formula is 1 cuft x gallon conversion 7.4805194805157 so 6,000cuft x 7.4805194805157 =44,883 gallons of water.
We measured the pool because it was a relevant shape to what we were learning. We cut it into two areas so we took it apart and put it back together as well as we started small with one area at a time.
Therefore we used 2 habits of a mathematician which were starting small and taking apart and putting back together which was a crucial part to the problem.
The formula format used was length x width x depth.
The measurements we took were the length, width and depth of the pool plus we had to split the pool into two areas because of a size difference in the depth of the pool (shallow and deep end). When we split up the pool we made 2 rectangular prisms, area A the shallow end and area B the deep end. When doing that we had to split the length where the depth changed. So the overall pool length is 40ft in length (15ft for area A and 25ft for area B) , 20 ft in width, and area A is 5ft in depth and area B is 9ft in depth. The formula for area A is 15ft x20ft x 5ft = 1,500cuft. The formula for area B is 25ft x 20ft x 9ft =4,500cuft. Once we found the 2 volumes we added them together 4,500cuft + 1,500cuft and got the full volume which is 6,000cuft.
***Fun fact= So if we were to fill the pool with water it would take aprx 44,883 gallons of water. The formula is 1 cuft x gallon conversion 7.4805194805157 so 6,000cuft x 7.4805194805157 =44,883 gallons of water.
We measured the pool because it was a relevant shape to what we were learning. We cut it into two areas so we took it apart and put it back together as well as we started small with one area at a time.
Therefore we used 2 habits of a mathematician which were starting small and taking apart and putting back together which was a crucial part to the problem.