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25 Apr 2017, 12:12
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
47% (01:33) correct
53%
(01:22)
wrong
based on 73
sessions
History
Date
Time
Result
Not Attempted Yet
What is the minimum area of cardboard required to make a rectangular box with no top?
(1) The area of the bottom of the box is 23 square feet.
(2) The volume of the box is 23 cubic feet.
Source: Nova GMAT
(1) The area of the bottom of the box is 23 square feet.
(2) The volume of the box is 23 cubic feet.
Source: Nova GMAT
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
25 Apr 2017, 21:02
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To get the area of cardboard required to make a rectangular box, we need to know the surface area of the box.
(1) The area of the bottom of the box is 23 square feet.
It does not provide any information of the height. Also we need to know atleast one of length or width to calculate the overall surface area.
For example, the length and width can be 23 and 1, or can be 11.5 and 2; Hence Insufficient.
(2) The volume of the box is 23 cubic feet.
No other information provided about length, height and width. Hence, Insufficient.
(1) & (2) together, the area of bottom is 23 sqft, the volume is 23 cubic ft
the length, width & height can be 23, 1, 1
or
11.5, 2, 1; Hence Insufficient.
Answer E.
(1) The area of the bottom of the box is 23 square feet.
It does not provide any information of the height. Also we need to know atleast one of length or width to calculate the overall surface area.
For example, the length and width can be 23 and 1, or can be 11.5 and 2; Hence Insufficient.
(2) The volume of the box is 23 cubic feet.
No other information provided about length, height and width. Hence, Insufficient.
(1) & (2) together, the area of bottom is 23 sqft, the volume is 23 cubic ft
the length, width & height can be 23, 1, 1
or
11.5, 2, 1; Hence Insufficient.
Answer E.
26 Apr 2017, 00:09
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Hi,
This is a very good question for a C-Trap answer in GMAT DS questions.
Here the key is to find the area of the rectangular box with no top,
i.e., if l is the length, b is the breadth and h is the height, then the area of five faces(with no top)
l*b + 2 b *h *+ 2 * h*l
So here the key is we need to know, b*h, l*b and h*l
Technically we need to length, breadth and height values.
Statement I is insufficient:
We know only the base area, nothing about the height or the length and the breadth values separately.
Statement II is insufficient:
We know the volume,
i.e.,
L*B*H = 23 cubic feet,
Again, we can’t really find the individual lengths,
Together still it is insufficient:
Here is where, student might end up choosing a trap answer that both together it is sufficient.
From statement I, we know l *b = 23
From Statement II, we know l*b*h = 23
So h = 1,
But still we don’t know, what is length and breadth individually, then we can’t figure that the area (b*h and h*l).
So together still it is insufficient.
Answer has to be E.
Hope this helps.
This is a very good question for a C-Trap answer in GMAT DS questions.
Here the key is to find the area of the rectangular box with no top,
i.e., if l is the length, b is the breadth and h is the height, then the area of five faces(with no top)
l*b + 2 b *h *+ 2 * h*l
So here the key is we need to know, b*h, l*b and h*l
Technically we need to length, breadth and height values.
Statement I is insufficient:
We know only the base area, nothing about the height or the length and the breadth values separately.
Statement II is insufficient:
We know the volume,
i.e.,
L*B*H = 23 cubic feet,
Again, we can’t really find the individual lengths,
Together still it is insufficient:
Here is where, student might end up choosing a trap answer that both together it is sufficient.
From statement I, we know l *b = 23
From Statement II, we know l*b*h = 23
So h = 1,
But still we don’t know, what is length and breadth individually, then we can’t figure that the area (b*h and h*l).
So together still it is insufficient.
Answer has to be E.
Hope this helps.
