Practice worksheet for calculating the volume of triangular prisms.

To find the volume of a triangular prism, we use this formula:

Volume = (Area of the triangular base) × (Length of the prism)

The area of a triangle is:
Area = ½ × base × height

So, putting it together:
Volume = ½ × base × height × length

We’ll go through each problem one by one. All measurements are in cm, so volume will be in cm³.

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Problem 1:
Base = 10 cm, Height = 6 cm, Length = 20 cm
Volume = ½ × 10 × 6 × 20
= 5 × 6 × 20
= 30 × 20
= 600 cm³

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Problem 2:
Base = 8 cm, Height = 7 cm, Length = 12 cm
Volume = ½ × 8 × 7 × 12
= 4 × 7 × 12
= 28 × 12
= 336 cm³

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Problem 3:
Base = 9 cm, Height = 5 cm, Length = 15 cm
Volume = ½ × 9 × 5 × 15
= 4.5 × 5 × 15
= 22.5 × 15
= 337.5 cm³

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Problem 4:
Base = 12 cm, Height = 8 cm, Length = 10 cm
Volume = ½ × 12 × 8 × 10
= 6 × 8 × 10
= 48 × 10
= 480 cm³

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Problem 5:
Base = 7 cm, Height = 6 cm, Length = 14 cm
Volume = ½ × 7 × 6 × 14
= 3.5 × 6 × 14
= 21 × 14
= 294 cm³

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Problem 6:
Base = 11 cm, Height = 4 cm, Length = 9 cm
Volume = ½ × 11 × 4 × 9
= 5.5 × 4 × 9
= 22 × 9
= 198 cm³

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Problem 7:
Base = 13 cm, Height = 5 cm, Length = 16 cm
Volume = ½ × 13 × 5 × 16
= 6.5 × 5 × 16
= 32.5 × 16
Let’s compute: 32 × 16 = 512, and 0.5 × 16 = 8 → total = 520
= 520 cm³

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Problem 8:
Base = 6 cm, Height = 9 cm, Length = 11 cm
Volume = ½ × 6 × 9 × 11
= 3 × 9 × 11
= 27 × 11
= 297 cm³

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Problem 9:
Base = 14 cm, Height = 3 cm, Length = 20 cm
Volume = ½ × 14 × 3 × 20
= 7 × 3 × 20
= 21 × 20
= 420 cm³

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Final Answer:
1. 600 cm³
2. 336 cm³
3. 337.5 cm³
4. 480 cm³
5. 294 cm³
6. 198 cm³
7. 520 cm³
8. 297 cm³
9. 420 cm³