MathDB
Problems
Contests
National and Regional Contests
Canada Contests
Gauss
1998 Gauss
23
23
Part of
1998 Gauss
Problems
(1)
1998 Gauss (7) #23
Source:
2/26/2017
A cube measures
10
cm
×
10
cm
×
10
cm
10 \text{cm} \times 10 \text{cm} \times10 \text{cm}
10
cm
×
10
cm
×
10
cm
. Three cuts are made parallel to the faces of the cube as shown creating eight separate solids which are then separated. What is the increase in the total surface area?
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A
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300
cm
2
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B
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800
cm
2
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C
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1200
cm
2
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(
D
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600
cm
2
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(
E
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0
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<span class='latex-bold'>(A)</span>\ 300 \text{cm}^2 \qquad <span class='latex-bold'>(B)</span>\ 800 \text{cm}^2 \qquad <span class='latex-bold'>(C)</span>\ 1200 \text{cm}^2 \qquad <span class='latex-bold'>(D)</span>\ 600 \text{cm}^2 \qquad <span class='latex-bold'>(E)</span>\ 0 \text{cm}^2
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(
A
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<
/
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>
300
cm
2
<
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x
−
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(
B
)
<
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>
800
cm
2
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−
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(
C
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<
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>
1200
cm
2
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x
−
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′
>
(
D
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>
600
cm
2
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(
E
)
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0
cm
2
Gauss