Question 43
Mensuration of SolidsThe base of a pyramid is a square of side 8cm. If its vertex is directly above the centre, find the height, given that edge is 4√3cm
- A.6cm
- B.5cm
- C.4cm
- D.3cm
Show the answer and explanation
Answer: C (4cm)
Explanation
Half the diagonal of the base is 8√2/2 = 4√2. Height² = (4√3)² − (4√2)² = 48 − 32 = 16, so the height is 4cm.