Answer the questions. Show the methods.
1. Jesicca is going to fill her swimming pool full with water. The pool measures 8 metres
by 4 metres by 1.2 metres. Jesicca will use a water pipe. The debit of the water is 5
litres per second. How long will it take to fill the pool with water? Express your
answer in hour, minute and second.
Note: 1000 litres = 1 m³.
2. A tap can flow water 250 ml per second. Amel filled her bucket up to its brim (full) in
80 seconds. What is the capacity of her bucket? Express your answer in litres.
3. Aldo had a rectangular container measuring 40 cm by 20 cm by 30 cm. The container
was full. Aldo moved all the water into another container using a straw. The process
needed 40 minutes of time. What was the debit of the water flowing through the
straw? Express your answer in ml per minute.
1. Jesicca is going to fill her swimming pool full with water. The pool measures 8 metres
by 4 metres by 1.2 metres. Jesicca will use a water pipe. The debit of the water is 5
litres per second. How long will it take to fill the pool with water? Express your
answer in hour, minute and second.
Note: 1000 litres = 1 m³.
2. A tap can flow water 250 ml per second. Amel filled her bucket up to its brim (full) in
80 seconds. What is the capacity of her bucket? Express your answer in litres.
3. Aldo had a rectangular container measuring 40 cm by 20 cm by 30 cm. The container
was full. Aldo moved all the water into another container using a straw. The process
needed 40 minutes of time. What was the debit of the water flowing through the
straw? Express your answer in ml per minute.
Jawab:
(1.) Filling time = 2 hours 8 minutes
(2.) Bucket capacity = 20 Litres
(3.) Water flow rate = 600 mL/minute
Penjelasan:
FLOW RATE.. Bukan "debit"
(1.) Given that a pool, with
the following dimension:
--> Length (L) = 8 m = 80 dm
--> Breadth (B) = 4 m = 40 dm
--> Depth (H) = 1.2 m = 12 dm
--> Flow rate (F) = 5 L/s
Find the filling time (T) in hours
F = V(cuboid)÷T
F = (L×B×H)÷T
T = (L×B×H)÷F
T = (80×40×12)÷5
T = 80×8×12
T = 640×12
T = 7,680 seconds
∵ 1 minute = 60 seconds ∴
T = [7,680÷60] minutes
T = 128 minutes
∵ 1 hour = 60 minutes ∴
T = [128÷60] hours
T = (120÷60) hours + (8÷60) hours
T = 2 hours + (2÷15) hours
∵ 1 hour = 60 minutes ∴
T = 2 hours + (2÷15)×60 minutes
T = 2 hours + 2×4 minutes
T = 2 hours 8 minutes
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(2.) Given that
flow rate (F) = 250 mL/s
time (T) = 80 s
Find the volume (V) in Litres
F = V÷T
V = F×T
V = 250×80
V = 20,000 mL
∵ 1 Litre = 1,000 mL ∴
V = 20,000÷1,000 Litres
V = 20 Litres
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(3.) Given that a cuboid
container, with the:
--> Length (L) = 40 cm
--> Breadth (B) = 20 cm
--> Depth (H) = 30 cm
--> Filling time (T) = 40 minutes
Find the flow rate (F)
F = V(cuboid)÷T
F = (L×B×H)÷T
F = (40×20×30) mL ÷ (40) minutes
F = (20×30) mL/minute
F = 600 mL/minute
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( xcvi )