Question 45
Mensuration of SolidsOXYZW 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√5
- B.3
- C.4
- D.√7
Show the answer and explanation
Answer: D (√7)
Explanation
T is the centre of the base, half a diagonal from each corner: half of 6√2 = 3√2. OT² = 5² − (3√2)² = 25 − 18 = 7, so OT = √7cm.