two Eng. Maths. question?(20點)

In your questions, all the measurements seemed to be accurate.

Why there are maximum and minimum values? Is there anything

information missing? Such as tolerance. e.g. the length for the open

rectangular glass tank in Q.2 is (320 +/- 1)mm

Or is there any implication for the phrase "correct to the nearest mm"?


From the information given, I can only give the following answers :

1. The area of the picture frame
= [(86)(56) - (70)(46)] cm^2
= (4816 - 3220) cm^2
= 1596 cm^2

2. The capacity of the open rectangular glass tank
= {[320 - 2(8)][228 - 2(8)][200 - (8)]} mm^3
__(Since the tank is open, only one thickness of the glass should be
__subtracted from the height.)
= [(304)(212)(192)] mm^3
= 12374016 mm^3

If you find out any extra information, please tell me and I shall
give you the correct answers as soon as possible.

2009-03-14 11:01:34 補充：
I have a guess on the phrase "correct to the nearest mm".

That is to give a tolerance of "+/- 0.5 mm" to the measurements.

So, I now provide my corrected answers as follows :

2009-03-14 11:02:10 補充：
1. The maximum area of the picture frame
= [(86.5)(56.5) - (69.5)(45.5)] cm^2
= (4887.25 - 3162.25) cm^2
= 1725 cm^2

2009-03-14 11:02:29 補充：
The minimum area of the picture frame
= [(85.5)(55.5) - (70.5)(46.5)] cm^2
= (4745.25 - 3278.25) cm^2
= 1467 cm^2

(For the wrong answers of Q.1, I think it is due to the wrong information given.)

2009-03-14 11:02:45 補充：
2. The maximum capacity of the open rectangular glass tank
= {[320.5 - 2(7.5)][228.5 - 2(7.5)][200.5 - (7.5)]} mm^3
= [(305.5)(213.5)(193)] mm^3
= 12588280 mm^3 (correct to the nearest mm^3)

2009-03-14 11:02:58 補充：
The minimum capacity of the open rectangular glass tank
= {[319.5 - 2(8.5)][227.5 - 2(8.5)][199.5 - (8.5)]} mm^3
= [(302.5)(210.5)(191)] mm^3
= 12162164 mm^3 (correct to the nearest mm^3)