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½bh × L

SOL009 · 3D solids & mensuration · Classes 7–10

Triangular prism

A triangular prism has two equal triangular ends joined by three rectangles. Its volume is the area of the triangle times the length.

📐 Formula

V = ½ × b × h × L

✏️ Worked example

Triangle base 4, height 3 (area 6), length 6: V = 36.

🌍 Where it is used

Tent shapes, roof sections, chocolate bars, glass prisms.

❓ Quick check

How many faces does a triangular prism have?

🏋️ Practice

EasyTriangle area 10, length 7. Volume?

Answer: 70

MediumEdges of a triangular prism?

Answer: 9

ChallengeA tent: triangle base 3 m, height 2 m, length 4 m. Volume?

Answer: 12 m³