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

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

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New post 09 Sep 2018, 08:48
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Question Stats:

78% (01:38) correct 22% (01:28) wrong based on 18 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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Re: One face of a cardboard box has measurements 8 centimeters by 15 centi  [#permalink]

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New post 09 Sep 2018, 09:38
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
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One face of a cardboard box has measurements 8 centimeters by 15 centi  [#permalink]

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New post 09 Sep 2018, 10:48
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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One face of a cardboard box has measurements 8 centimeters by 15 centi &nbs [#permalink] 09 Sep 2018, 10:48
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