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# A pyramid has a height of 12 inches and a base with an area

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Manager
Joined: 18 Jun 2004
Posts: 105
Location: san jose , CA
Followers: 1

Kudos [?]: 32 [0], given: 0

A pyramid has a height of 12 inches and a base with an area [#permalink]  23 Aug 2004, 22:36
A pyramid has a height of 12 inches and a base with an area of 81 sq. inches . what is the area of a cross section 8 inches away from the base ?

A . 27

B . 24

c . 21

D. 9

E . 144
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Senior Manager
Joined: 19 May 2004
Posts: 291
Followers: 1

Kudos [?]: 9 [0], given: 0

I'm not sure i undestood the question correctly,
but i got 9. (D)

Side of base = 9.
Side of cross section = 3. ( I used proportions 1:3 )
3*3 = 9
Intern
Joined: 22 Aug 2004
Posts: 14
Followers: 0

Kudos [?]: 0 [0], given: 0

Pyramid [#permalink]  24 Aug 2004, 06:10
I also got answer as 9.
As the original pyramid and the pyramid formed as a result of the cross section are similar. The ratio of the areas would be equal to ratio of square of the corresponding sides (in this case heights)

Hence,
81/x = (12^2( / (4^2)
x = 81/9 = 9 units
Manager
Joined: 18 Jun 2004
Posts: 105
Location: san jose , CA
Followers: 1

Kudos [?]: 32 [0], given: 0

Dookie and Neo

you are right , OA is D .
I felt the question little tricky so i posted it .
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---- Hero never chooses Destiny
Destiny chooses Him ......

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