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OXYZW is a pyramid with a square base such that OX = OY= OZ =...

Mathematics
JAMB 1989

OXYZW is a pyramid with a square base such that OX = OY= OZ = OW = 5cm and XY = XW = YZ = WZ = 6cm. Find the height OT

  • A. 2\(\sqrt{5}\)
  • B. 3
  • C. 4
  • D. 4\(\sqrt{3}\)
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Correct Answer: Option D
Explanation

xz\(^2\) = 6\(^2\) + 6\(^2\)

36 + 36 = 72

xz = \(\sqrt{72}\)

6\(\sqrt{2}\) = XT

\(\frac{6\sqrt{2}}{2}\) = \(\frac{3}{\sqrt{2}}\)

OT\(^2\) = 5\(^2\) + (3\(\sqrt{2}\))2 = 25 + 18

OT = 4\(\sqrt{3}\)


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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Post UTME Past Questions Agent
WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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