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01 Nov 2021, 08:45
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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:
65%
(hard)
Question Stats:
60% (02:53) correct
40%
(02:34)
wrong
based on 50
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The figure shown represents a solid pyramid with a square base of length 10. If EO is an imaginary line segment representing the height of the pyramid and EO = 12, what is the area of the four sides (excluding the base) of the pyramid?
A. 480
B. 260
C. 240
D. 130
E. 120
Attachment:
1.png [ 24.07 KiB | Viewed 3887 times ]
01 Nov 2021, 09:15
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Bunuel
Answer: Option B
Step-by-Step Video solution by GMATinsight
01 Nov 2021, 09:17
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Consider an imaginary line from O to the midpoint of BC. We call this point D, making OD = 5.
Now we join D to E along the face of the side of the pyramid. This would be the slant height of the pyramid.
DE^2 = OD^2 + OE^2
=> DE = 13
Now the slant height DE is also the height of the triangle BEC
Hence the total area of the 4 faces of the pyramid = 4 x (1/2 x BC x DE)
=2 x 13 x 10 = 260
Option B
Now we join D to E along the face of the side of the pyramid. This would be the slant height of the pyramid.
DE^2 = OD^2 + OE^2
=> DE = 13
Now the slant height DE is also the height of the triangle BEC
Hence the total area of the 4 faces of the pyramid = 4 x (1/2 x BC x DE)
=2 x 13 x 10 = 260
Option B
