Volume of Triangular Prisms

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📚 Part 1: Multiple Choice

1. What is the formula for the volume of a triangular prism?

V = (1/2 × base × height) × length

V = base × height × length

V = (base × height) / length

V = area × perimeter

2. A triangular prism has triangle base = 6 cm, triangle height = 4 cm, prism length = 10 cm. What is the volume?

80 cm³

120 cm³

240 cm³

60 cm³

3. Triangle base = 5 m, triangle height = 2 m, prism length = 3 m. Volume?

10 m³

15 m³

30 m³

5 m³

4. The triangular base area is 9 cm² and the prism length is 7 cm. What is the volume?

16 cm³

63 cm³

72 cm³

9 cm³

✏️ Part 2: Short Answers

5. Find the volume of a triangular prism with base = 8 cm, triangle height = 3 cm, prism length = 5 cm. Show your steps and give the answer with units.

6. A garden beam is a triangular prism. Triangle base = 0.2 m, triangle height = 0.15 m, prism length = 4 m. Find:
- Volume in cubic metres (m³)
- Volume in litres (1 m³ = 1000 L)

7. The volume of a triangular prism is 150 cm³. The triangular base has base = 10 cm and triangle height = 3 cm. Find the prism length. Show your calculation.

8. Draw and label a triangular prism showing: the triangle base, the triangle height, and the prism length (depth). Below your drawing write the volume formula.