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# W1, W2 are two rectangular tanks. Is lateral surface area of W1 > W2?

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W1, W2 are two rectangular tanks. Is lateral surface area of W1 > W2?  [#permalink]

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14 Mar 2018, 23:06
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Difficulty:

45% (medium)

Question Stats:

58% (01:22) correct 42% (01:33) wrong based on 55 sessions

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W1, W2 are two rectangular tanks. Is the lateral surface area of W1 greater than that of W2?

(1) Height of tank W1 is equal to that of W2.

(2) W1 has a square base. Area of base of W1 is same as the area of base of W2.
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Re: W1, W2 are two rectangular tanks. Is lateral surface area of W1 > W2?  [#permalink]

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15 Mar 2018, 05:48
amanvermagmat wrote:
W1, W2 are two rectangular tanks. Is the curved surface area of W1 greater than that of W2?

(1) Height of tank W1 is equal to that of W2.

(2) W1 has a square base. Area of base of W1 is same as the area of base of W2.

IMO D.

W1 and W2 are rectangular tanks so they have a height, width and depth. Essentially they do not have curved surfaces!

Hence Curved surface of W1 = 0 = curved surface of W2.

Either of Statements are sufficient to answer the prompt.

This seems to me the only viable explanation to this question

Please give kudos if you agree with my explanation ...
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Re: W1, W2 are two rectangular tanks. Is lateral surface area of W1 > W2?  [#permalink]

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23 Mar 2018, 11:44
I think you mean Lateral Surface Area - cuboid and cubes do not have curved surface area. Anyway, are you sure the answer is C?

amanvermagmat wrote:
amanvermagmat wrote:
W1, W2 are two rectangular tanks. Is the curved surface area of W1 greater than that of W2?

(1) Height of tank W1 is equal to that of W2.

(2) W1 has a square base. Area of base of W1 is same as the area of base of W2.

IMO D.

W1 and W2 are rectangular tanks so they have a height, width and depth. Essentially they do not have curved surfaces!

Hence Curved surface of W1 = 0 = curved surface of W2.

Either of Statements are sufficient to answer the prompt.

This seems to me the only viable explanation to this question

Please give kudos if you agree with my explanation ...

Hello

By 'Curved Surface Area' I meant 'lateral surface area', i,e, area without the two bases.

In India we call it Curved Surface Area, but maybe in GMAT its called something else. If I come to know something like that I will edit the question, please let me know
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Re: W1, W2 are two rectangular tanks. Is lateral surface area of W1 > W2?  [#permalink]

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23 Mar 2018, 12:04
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Jayath wrote:
I think you mean Lateral Surface Area - cuboid and cubes do not have curved surface area. Anyway, are you sure the answer is C?

Hi Jayath

The lateral surface area of a cuboid is $$2h(l+b)$$

Statement 1: says height of both the tanks is same, and

Statement 2: says that the base is a square, implying that $$l=b$$

Combining 1 & 2: Hence lateral surface area of either tank will be $$2h(l+l)=4hl$$. Hence both are equal. Sufficient
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Re: W1, W2 are two rectangular tanks. Is lateral surface area of W1 > W2?  [#permalink]

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23 Mar 2018, 19:27
amanvermagmat wrote:
W1, W2 are two rectangular tanks. Is the curved surface area of W1 greater than that of W2?

(1) Height of tank W1 is equal to that of W2.

(2) W1 has a square base. Area of base of W1 is same as the area of base of W2.

IMO D.

W1 and W2 are rectangular tanks so they have a height, width and depth. Essentially they do not have curved surfaces!

Hence Curved surface of W1 = 0 = curved surface of W2.

Either of Statements are sufficient to answer the prompt.

This seems to me the only viable explanation to this question

Please give kudos if you agree with my explanation ...

Hello

I have edited the question to 'lateral surface area'. Thanks
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Re: W1, W2 are two rectangular tanks. Is lateral surface area of W1 > W2?  [#permalink]

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23 Mar 2018, 19:29
[quote="Jayath"]I think you mean Lateral Surface Area - cuboid and cubes do not have curved surface area. Anyway, are you sure the answer is C?

Hello

I have edited the question to 'lateral surface area'. Thanks

And answer will be C as Niks has explained
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W1, W2 are two rectangular tanks. Is lateral surface area of W1 > W2?  [#permalink]

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24 Mar 2018, 04:04
amanvermagmat wrote:
W1, W2 are two rectangular tanks. Is the lateral surface area of W1 greater than that of W2?

(1) Height of tank W1 is equal to that of W2.

(2) W1 has a square base. Area of base of W1 is same as the area of base of W2.

I agree that the answer will be C. But my explanation as below. Plz correct me if i am wong

Lateral surface area of W1; after combining both the statement is 2h(L+L) as it has a square base

So if i assume L=2, then lateral area for W1 becomes = 2h(2+2)

But in statement 2 it is not mentioned that W2 base is also a square; it only says the area of W2 base = base of W1
So, for W2 base, L can be= 1 and B can be=4; so base area of W2 = 4*1 (equal to base area of W1)

Now for W1 lateral area = 2H(2+2) but W2 lateral area = 2H(1+4)

So, W2>W1,(as in statement 1 it is mentioned H is same for both tanks); we can try out different number combinations and always see that W2> W1

The catch here that in statement 2 it is not mentioned that W2 also has a square base (only says it has same base area as W1 )
W1, W2 are two rectangular tanks. Is lateral surface area of W1 > W2?   [#permalink] 24 Mar 2018, 04:04
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