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07 Sep 2018, 01:42
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
78% (02:13) correct
22%
(02:20)
wrong
based on 54
sessions
History
Date
Time
Result
Not Attempted Yet
One face of a cardboard box has measurements 8 centimeters by 15 centimeters. The surface area of the entire box is 1160 square centimeters. What is the area of the largest face of the box?
A. 700
B. 300
C. 160
D. 120
E. 20
A. 700
B. 300
C. 160
D. 120
E. 20
07 Sep 2018, 02:48
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Bunuel
2*(lb+bh+lh) = 1160
2*[8*15+h(8+15)] = 1160
23h = 460
h = 20
Largest face Area = 15*20 = 300
Answer: Option B
07 Sep 2018, 03:33
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Hi,
GMATinsight has already given the perfect explanation for the above question.
Let me try to give an alternative approach,
Best part of MCQ questions is, its comes with options, we can always try to narrow down the choices by eliminating the wrong answer choices.
Question: What is the area of the largest face of the box ?
There are six faces in a rectangular box and each face is a rectangle, Also there are three dimensions in a rectangle like length, width and height.
There are two faces for each dimension i.e., length & width, width & height, height & length
So, there will be two faces with dimensions 15 * 8. So, the area of this face is 120.
Other faces should be 15 * x and 8 *x, if “x” is the unknown dimensions.
Maximum area would be for the face with dimension 15 * x.
Question asks for maximum area of a face(rectangle), so definitely we can eliminate answer choices E.
We can also eliminate answer choice D, because total surface is given as 1160, even if we remove the 240(2*15*8), the remaining area is far away from 120.
So answer choices should be a multiple of 15 and out of remaining answer choices of A, B and C only answer choice B(300) works.
So the answer is B.
Hope this helps.
GMATinsight has already given the perfect explanation for the above question.
Let me try to give an alternative approach,
Best part of MCQ questions is, its comes with options, we can always try to narrow down the choices by eliminating the wrong answer choices.
Question: What is the area of the largest face of the box ?
There are six faces in a rectangular box and each face is a rectangle, Also there are three dimensions in a rectangle like length, width and height.
There are two faces for each dimension i.e., length & width, width & height, height & length
So, there will be two faces with dimensions 15 * 8. So, the area of this face is 120.
Other faces should be 15 * x and 8 *x, if “x” is the unknown dimensions.
Maximum area would be for the face with dimension 15 * x.
Question asks for maximum area of a face(rectangle), so definitely we can eliminate answer choices E.
We can also eliminate answer choice D, because total surface is given as 1160, even if we remove the 240(2*15*8), the remaining area is far away from 120.
So answer choices should be a multiple of 15 and out of remaining answer choices of A, B and C only answer choice B(300) works.
So the answer is B.
Hope this helps.
