SOL010 · 3D solids & mensuration · Classes 8–10
Pyramid
A pyramid has a polygon base and triangular faces meeting at an apex. Its volume is one third of the prism with the same base and height.
⅓ BhPyramid
📐 Formula
V = ⅓ × base area × height
✏️ Worked example
Square base 6, height 4: V = ⅓ × 36 × 4 = 48; slant height 5.
🌍 Where it is used
Egyptian pyramids, temple shikharas, roofs.
❓ Quick check
A pyramid's volume is what fraction of the prism with the same base and height?
🏋️ Practice
EasyBase area 30, height 10. Volume?
Answer: 100
MediumFaces of a square pyramid?
Answer: 5
ChallengeVolume 80, base area 24. Height?
Answer: 10