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The figure above represents a rectangular tank. How many cubic centime

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felippemed
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The figure above represents a rectangular tank. How many cubic centime [#permalink] New post   02 Jun 2016, 11:24
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The figure above represents a rectangular tank. How many cubic centimeters of water are in the tank when the water level is 10 centimeters below the top of the tank?

(A) 12,672,000
(B) 13,824,000
(C) 126,720,000
(D) 138,240,000
(E) 1,267,200,000

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C
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mikemcgarry
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Re: The figure above represents a rectangular tank. How many cubic centime [#permalink] New post   02 Jun 2016, 11:35
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felippemed wrote:


The figure above represents a rectangular tank. How many cubic centimeters of water are in the tank when the water level is 10 centimeters below the top of the tank?

(A) 12,672,000
(B) 13,824,000
(C) 126,720,000
(D) 138,240,000
(E) 1,267,200,000

Show Spoiler
Attachment:
Untitled.png

Dear felippemed,
I'm happy to respond. :-) This is a question crying out for estimation!

First, we will estimate: it's about 1000 x 1000 x 100, which would be 100,000,000. Choices (A) & (B) are way to small, and choice (E) is way too big, but (C) & (D) are plausible. Right away, if we were shoot on time, we could guess from the two remaining answers, and our odds of advancing would be excellence.

Do not, do not, do not under any circumstances perform the multiplication. Here's another trick. Look at the final digit of each factor: 2 in the hundreds place, 6 in the tens place, and 1 in the tens place. Multiply these: we get 12, or in other words, a final digit of 2 in the ten thousands place. From this, we immediately see that the answer must be (C), not (D).

Does all this make sense?

Mike :-)
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Re: The figure above represents a rectangular tank. How many cubic centime [#permalink] New post   02 Jun 2016, 11:52
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felippemed wrote:


The figure above represents a rectangular tank. How many cubic centimeters of water are in the tank when the water level is 10 centimeters below the top of the tank?

(A) 12,672,000
(B) 13,824,000
(C) 126,720,000
(D) 138,240,000
(E) 1,267,200,000

Show Spoiler
Attachment:
Untitled.png


So We can say for this Rectangular ( Cuboidal Shape )

Height = 110 cm
Length = 1200 cm
Breadth = 960 cm

Now , count the number of zeroes ( 4 in this case ) =====> Possible answer options (C) and (D)

Next find the last non zero digit , in this case it will be -

1 x 2 x 6 => 2 =====> Possible answer options (A) , (C) and (D)

Now combine those answer choice (C) is correct....


Hope this helps !!
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Re: The figure above represents a rectangular tank. How many cubic centime [#permalink] New post   01 Oct 2018, 22:33
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Hi All,

We're told that the figure above represents a rectangular tank (with a length of 1200 cm, a width of 960 cm and a height of 120 cm). We're asked for the number of cubic centimeters of water are in the tank when the water level is 10 centimeters BELOW the top of the tank. This question can be solved with a bit of Arithmetic and some estimation (although you do have to be careful about keeping track of the decimal point).

Since the water level is 10 cm BELOW the top of the tank, the volume of the water is 1200 x 960 x 110. We can 'round up' the 960 to 1000 and 'round down' the 110 to 100, which would give us an approximate volume of (1200)(1000)(100) = 120,000,000. there's only one answer that's close...

Final Answer:
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C


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Re: The figure above represents a rectangular tank. How many cubic centime [#permalink] New post   02 Jun 2016, 11:37
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felippemed wrote:


The figure above represents a rectangular tank. How many cubic centimeters of water are in the tank when the water level is 10 centimeters below the top of the tank?

(A) 12,672,000
(B) 13,824,000
(C) 126,720,000
(D) 138,240,000
(E) 1,267,200,000

Show Spoiler
Attachment:
Untitled.png


cubic centimeters of water that are in the tank when the water level is 10 centimeters below the top of the tank
= 1200 * 960 * (120-10)
=12* 96 * 10^3 * 110
=1152*11 * 10^4
=12672 * 10^4

Answer C
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Re: The figure above represents a rectangular tank. How many cubic centime [#permalink] New post   03 Oct 2018, 17:46
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felippemed wrote:


The figure above represents a rectangular tank. How many cubic centimeters of water are in the tank when the water level is 10 centimeters below the top of the tank?

(A) 12,672,000
(B) 13,824,000
(C) 126,720,000
(D) 138,240,000
(E) 1,267,200,000


The amount of water in the tank when the water level is 10 centimeters below the top of the tank is:

1,200 x 960 x 110 = 126,720,000 cubic centimeters

Answer: C
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Re: The figure above represents a rectangular tank. How many cubic centime [#permalink] New post   25 May 2023, 14:15
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