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Unit Conversion and Scale Interpretation

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The table below presents the annual municipal water supply metrics and resident population for four administrative districts in 2025. Note that 1 cubic meter (m3)=1,000 liters1\text{ cubic meter } (\text{m}^3) = 1,000\text{ liters}.

DistrictAnnual Water Supplied (in millions of m3\text{m}^3)Total Revenue (in tens of thousands of USD)Resident Population (in thousands)
Metro North21.9876200
Riverdale8.76438120
Coastal Bay14.6730160
Highland Peak13.14525.6150

Based on the data provided, what was the average daily water consumption per resident in Coastal Bay in 2025, expressed in liters per person per day? (Assume a 365-day year.)

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Cevap: 250

Cevap

The average daily water consumption per resident in Coastal Bay in 2025 was 250 liters per person per day.
To find the average daily water consumption per resident in Coastal Bay, first read the values for Coastal Bay from the table: Annual Water Supplied is 14.6 million m314.6\text{ million m}^3 and Resident Population is 160 thousand160\text{ thousand}. Convert water volume to liters: 14.6×106×1,000=14,600,000,000 liters14.6 \times 10^6 \times 1,000 = 14,600,000,000\text{ liters}. Convert population to individual count: 160×1,000=160,000 residents160 \times 1,000 = 160,000\text{ residents}. Calculate total annual resident-days: 160,000×365=58,400,000 resident-days160,000 \times 365 = 58,400,000\text{ resident-days}. Finally, divide total liters by total resident-days: 14,600,000,00058,400,000=250 liters per person per day\frac{14,600,000,000}{58,400,000} = 250\text{ liters per person per day}.

Adım Adım Çözüm

1
Table Lookup and Scale Expansion for Water Supplied
Water supplied = 14.6×106 m3=14,600,000 m314.6 \times 10^6 \text{ m}^3 = 14,600,000 \text{ m}^3
The table header specifies that values are given in millions of cubic meters.
2
Unit Conversion from Cubic Meters to Liters
Total liters = 14,600,000 m3×1,000 L/m3=14,600,000,000 L14,600,000 \text{ m}^3 \times 1,000 \text{ L/m}^3 = 14,600,000,000 \text{ L}
Each cubic meter contains 1,0001,000 liters as stated in the problem note.
3
Population Scale Expansion and Resident-Days Calculation
Total resident-days = (160×1,000 people)×365 days=58,400,000 person-days(160 \times 1,000 \text{ people}) \times 365 \text{ days} = 58,400,000 \text{ person-days}
The population header specifies values in thousands, and a full year comprises 365 days.
4
Calculate Per Capita Daily Rate
Daily per capita rate = 14,600,000,000 L58,400,000 person-days=250 L/person/day\frac{14,600,000,000 \text{ L}}{58,400,000 \text{ person-days}} = 250 \text{ L/person/day}
Dividing total annual volume by total person-days yields the average daily consumption per person.

Anahtar Kavram

Unit Conversion and Scale Interpretation in Table Analysis
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The table below presents annual production and resource consumption metrics for four semiconductor fabrication plants in 2025.

Fab FacilitySilicon Wafers Processed (in thousands)Solvent Used per Wafer (in mL)Total Electricity Consumed (in MWh)
Fab Alpha4508003,600
Fab Beta6005004,200
Fab Gamma2501,2002,750
Fab Delta8004505,200

Note: 1 kiloliter (kL)=1,000 liters (L)=1,000,000 milliliters (mL)1\text{ kiloliter (kL)} = 1,000\text{ liters (L)} = 1,000,000\text{ milliliters (mL)}.

Based on the table, what was the total volume of solvent used by Fab Alpha in 2025, expressed in kiloliters (kL)?

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Cevap: 360

Cevap

The total volume of solvent used by Fab Alpha in 2025 was 360 kL.
To find the total solvent used by Fab Alpha in kiloliters, first account for the scale factor in the wafer column header: Fab Alpha processed 450 thousand wafers, which is 450×1,000=450,000450 \times 1,000 = 450,000 wafers. Next, calculate the volume in milliliters: 450,000 wafers×800 mL/wafer=360,000,000 mL450,000 \text{ wafers} \times 800 \text{ mL/wafer} = 360,000,000 \text{ mL}. Finally, convert to kiloliters by dividing by 1,000,0001,000,000 (1 kL=1,000,000 mL1 \text{ kL} = 1,000,000 \text{ mL}), which gives 360 kL360 \text{ kL}.

Adım Adım Çözüm

1
Extract wafer volume with scale multiplier
Fab Alpha processed 450,000 wafers.
The table column header specifies 'in thousands', requiring a multiplier of 1,000.
2
Calculate total solvent volume in milliliters
Total solvent volume = 360,000,000 mL.
Multiply 450,000 wafers by 800 mL per wafer.
3
Convert volume to target unit (kiloliters)
360 kL.
Divide 360,000,000 mL by 1,000,000 mL per kL.

Anahtar Kavram

Unit Conversion and Scale Interpretation
Unit Conversion and Scale Interpretation Alıştırma Soruları — GMAT | Examkin