A building has 4 square pyramidal turrets, each of base 4 m and height 6 m. If each need 1.25 times volume for structural fill, find total fill needed.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 160 m3.
Volume of one pyramid = (1/3) × Base area × Height
Base area = 4 × 4 = 16 m2, Height = 6 m
Volume = (1/3) × 16 × 6 = 32 m3
Fill needed per turret = 32 × 1.25 = 40 m3
Total fill for 4 turrets = 40 × 4 = 160 m3