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# One face of a cardboard box has measurements 8 centimeters by 15 centi

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Math Expert
Joined: 02 Sep 2009
Posts: 50708
One face of a cardboard box has measurements 8 centimeters by 15 centi  [#permalink]

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09 Sep 2018, 07:48
00:00

Difficulty:

35% (medium)

Question Stats:

81% (01:45) correct 19% (01:28) wrong based on 21 sessions

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One face of a cardboard box has measurements 8 centimeters by 15 centimeters. The surface area of the entire box is 700 square centimeters. What is the area of the largest face of the box?

A. 700
B. 300
C. 150
D. 120
E. 20

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Director
Joined: 20 Feb 2015
Posts: 796
Concentration: Strategy, General Management
Re: One face of a cardboard box has measurements 8 centimeters by 15 centi  [#permalink]

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09 Sep 2018, 08:38
Bunuel wrote:
One face of a cardboard box has measurements 8 centimeters by 15 centimeters. The surface area of the entire box is 700 square centimeters. What is the area of the largest face of the box?

A. 700
B. 300
C. 150
D. 120
E. 20

surface area of the entire box = 700 = 2(8*15) + 2(8x) + 2(15x) (where x is the length of the third edge)
700 = 240 - 46x
x=10

area of largest face = 10*15=150
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 930
WE: Supply Chain Management (Energy and Utilities)
One face of a cardboard box has measurements 8 centimeters by 15 centi  [#permalink]

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09 Sep 2018, 09:48
Bunuel wrote:
One face of a cardboard box has measurements 8 centimeters by 15 centimeters. The surface area of the entire box is 700 square centimeters. What is the area of the largest face of the box?

A. 700
B. 300
C. 150
D. 120
E. 20

Let b=8, h=15

Surface area of box=700
Or, 2(hb+lb+lh)=700
Or, 8*15+lb+lh=350
Or, l(b+h)=350-120=230
Or, l(8+15)=230
Or. $$l=\frac{230}{23}$$=10

So, l=10, b=8, and h=15

Now, area of the largest face of the box= multiplication of two largest edges of rectangular box=15*10=150

Ans. (C)
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PKN

Rise above the storm, you will find the sunshine

One face of a cardboard box has measurements 8 centimeters by 15 centi &nbs [#permalink] 09 Sep 2018, 09:48
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