Analyzing Rainfall Effects: Volume and Height Changes
In this content, we explore the impact of varying annual rainfall levels on volume and height changes. From calculating water volume equivalents to understanding how different receptacle dimensions affect water levels, the tasks highlight the relationship between rainfall and water accumulation. Through numerical analysis and observations, we delve into the significance of mm of rainfall and how it translates into practical measurements. These tasks provide an insightful perspective on the mathematical processes involved in studying rainfall effects.
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Presentation Transcript
ACTIVITY PER
The total annual rainfall is 10 mm in the coastal area and about 1,000 mm in the mountainous area. The annual amount of precipitation in Lima, Matucana and Milloc, is 10mm, 270 mm and 660 mm respectively. Place Annual rainfall (mm) Lima 10 Chosica 24 San Mateo 38 Milloc 660 If flood occurs in Lima from rainfall in Chosica, what might be the height?
Task 1 What is the volume of water equivalent of 10mm? Filled with water to a height of 10mm, a container of 1m long and 1 m wide. Calculate the volume V = AXH, V = 100cmx100cmx0, 1cm = 1000cm3 1000cm3is equivalent to 1000ml, then converted to 1 l
Task 2 Filled with water to a height from 10mm, to 24 mm , to increased 2mm each and calculate the volume V = AXH, V=100cmx100cmx...cm = . cm3
w(cm) l(cm) Litres H (cm) Volume (cm3) 1 100 100 0.1 1000 1,2 100 100 0.12 1200 1,4 100 100 0.14 1400 1,6 100 100 0.16 1600 1,8 100 100 0.18 1800 2,0 100 100 0.2 2000 2,2 100 100 0.22 2200 2,4 100 100 0.24 2400
Task 3 The meaning of 1mm annual rainfall. Fill 1 l of water into receptacles with different dimensions . Compare the level ofthe same volume of liquids in these different containers. Model: Observe that the water height is lower as the base increases.
Task 4 If the length of the receptable increases by 5 cm each, which is the change of the level of water? Which is the change that causes the height to decrease each time? Volume Width (cm) Length (cm) High (mm) 1000 100 105 9,5 1000 100 110 9,1 1000 100 115 8,7 1000 100 120 8,3 1000 100 125 8,0 1000 100 130 7,7 1000 100 135 7,4 1000 100 141 7,1 1000 100 145 6,8
It is necessary to take from the context, some information that may be used for the development of the mathematical processes At first analyze the change of 10mm to 24mm rain, and then analyze the change when the height Increases.
Task 3 The area of San Mateo km2,and rain causes landslide, will it reach district, where we are (sopl 38 mm por m2 5054x106) is 133 if the a Chicla located? pero
Task 4 San Mateo is from 38mm and the area is 133km2. How long will be the confined of the flood on the Calculate the volume Convert the volume in km. route? water. of
