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Wednesday, November 22 2017 @ 01:17 AM CST
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By: JessicaTan (offline)  Wednesday, July 17 2013 @ 04:25 AM CDT (Read 782 times)  
JessicaTan

Please help with working solution.

Please see the attached file.

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By: echeewh (offline)  Wednesday, July 17 2013 @ 07:43 PM CDT  
echeewh

Hi Jessica,

Both your questions are about 'water displacement', i.e. the difference between final and initial volume of water when an object(s) is placed in water / liquid. That difference in volume is equivalent to the volume of object(s) placed inside.

Following are my worked solutions:

Q12.

(a)
Volume of water in tank
= Volume of water (with cube) - Volume of Cube
= (80 × 60 × 40) - (20 × 20 × 20)
= 192000 - 8000
= 184000 cm3
= 184 litres

(b)
Time taken to drain water completely
= (184000 ÷ 125)
= 1472 mins
= 24 8/15 hrs

=======

Q13.

(a)
Volume of Iron Ball
= 30 × 25 × 25.5
= 19125 cm3
= 19.125 litres

Height of water level (after iron ball removed)
27 - 25.5 = 1.5 cm

Volume of Water in Tank A
= 30 × 25 × 1.5
= 1125 cm3

Area of Tank B
= Volume ÷ Height
= 1125 ÷ 15
= 75 cm2

Length of Tank B
= 75 ÷ 25
= 3 cm

========

Trust this helps.

Do let me know again if this is different from your <Answerkey> or if there's further clarification.

Cheers,
Edward


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