A rectangular tank,measuring 64cm by 50cm by 40cm,is 3/4 filled with water.If the water is drained out at a rate of 12 litres per minute,how long will it take to empty the tank?(1litre=1000cm3)
2006-09-22 22:27:09 · 16 answers · asked by tocatchtheuncatchableii 3 in Science & Mathematics ➔ Mathematics
now the total volume of the tank is = 64 X 50 X 40 = 128000 cm3...
now we know that 128000 cm3 = 128000/1000 litres = 128 litres
now it is 3/4 filled...therefore volume of water in it = 128 X 3/4 = 96 litres...
now the water is being drained @ 12litres per minute...
therefore time taken to drain the whole water out of the tank = 96/12= 8 minutes and this is the answer...
2006-09-22 22:36:02 · answer #1 · answered by k_rapture 3 · 0⤊ 0⤋
1. Get the volume of the tank:
64cm by 50cm by 40cm= 128000 cc
2. Convert to liters:
128000 cc(1 L/1000 cc)=128 L
3. Get the volume of the water in the tank:
128 L(3/4)= 96 L
4. Compute for the time:
96 L(1 min/12L) = 8 min
*I use dimensional analysis for computation and conversion.
e.g. 96 L (1min/1L)
1 L is in the denominator because the L should be cancelled to get the min. or the time
2006-09-23 06:20:53 · answer #2 · answered by Lin 2 · 0⤊ 0⤋
total capacity of the tank = 64*50*40 = 128000cm3 = 128litre
am of water filled = 3/4 of 128 = 96litre
time taken to drain 12 litre = 1 min
time taken to drain 1 litre = 1/12 min
time taken to drain 96 litre = 1/12 * 96 = 8 mins
ans = 8 mins
you should be knowing how to do these types
2006-09-23 05:32:46 · answer #3 · answered by vishal_willpower 2 · 0⤊ 0⤋
V (volume of tank ) = 64 * 50 * 40 = 128000 cm³ = 128 Litre
V (volume of water) = ¾ * 128 = 96 litre
âV / ât = 12 L/min
T (time)= V / (âV / ât) = 96 /12 = 8 minuites
2006-09-23 05:47:00 · answer #4 · answered by M. Abuhelwa 5 · 1⤊ 0⤋
Volume of water in tank
=3/4 * 64 * 50 * 40
=96000 cm^3
Time Taken
=96000/(12*1000)
=96000/12000
=8 minutes
2006-09-23 05:30:51 · answer #5 · answered by Ashley 2 · 0⤊ 0⤋
(64 X 50 X 40) / 12000 minutes, for emptying FULL tank.
Tank is only 3/4 filled.
Hence, answer is [ (64 X 50 X40) / 12000 ] X [3/4] = 8 mins, for emptying "three-quarters" tank.
2006-09-23 05:47:45 · answer #6 · answered by Sam 7 · 0⤊ 0⤋
volume of water= 3/4* 64* 50* 40= 96000 cm3.
rate of draining= 12litres/min= 12000cm3/ min
time taken to drain water= 96000/12000= 8mins
=) that was fun. hope that the answer is right
2006-09-23 05:31:35 · answer #7 · answered by ineedhelp! 1 · 0⤊ 0⤋
8 minutes as water in tank in 96ltrs
2006-09-23 05:51:15 · answer #8 · answered by Anonymous · 0⤊ 0⤋
64 * 50 * 40 = 128000
(3/4)(128000) = 96000
(96000/(12 * 1000)) = 96000/12000 = 8
ANS : 8 minutes
2006-09-23 09:51:32 · answer #9 · answered by Sherman81 6 · 0⤊ 0⤋
(64x50x40)3/4/12 = 96 minutes or 1hour and 36 minutes,
2006-09-23 05:51:29 · answer #10 · answered by Max 6 · 0⤊ 1⤋