Grade 8 Volume of triangular prisms Worksheets
Grade 8 practice: Multiply the triangular cross-section area by the length of the prism. Choose a level below to generate a fresh set of questions.
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Understanding volume of triangular prisms
Volume of triangular prisms (Grades 7–8) asks learners to multiply the area of the triangular cross-section by the length (depth) of the prism. The idea is that a prism is the same triangle repeated along its length, so volume = (area of triangle) × length. Learners first compute the triangle’s area with ½ × base × height, then multiply by how long the prism runs.
For example, a prism whose triangular end has base 6 cm and height 4 cm, and whose length is 10 cm, has cross-section area ½ × 6 × 4 = 12 cm² and volume 12 × 10 = 120 cm³. A common mistake is forgetting the “one half” in the triangle’s area, or using the prism’s slant instead of its true length. Tip: find the triangle’s area first, keep it in square units, then multiply by the length to reach cubic units.
Sample volume of triangular prisms questions
These examples come from the Easy setting. Generate a worksheet for a complete page with space for working.
- A triangular prism has a triangular cross-section with base 4 cm and height 5 cm, and a length of 2 cm. Find its volume.
- A triangular prism has a triangular cross-section with base 6 cm and height 2 cm, and a length of 3 cm. Find its volume.
- A triangular prism has a triangular cross-section with base 6 cm and height 2 cm, and a length of 3 cm. Find its volume.
- A triangular prism has a triangular cross-section with base 4 cm and height 2 cm, and a length of 2 cm. Find its volume.
Check the sample answers
- 20 cm³
- 18 cm³
- 18 cm³
- 8 cm³
Practice focus
Multiply the triangular cross-section area by the length of the prism. Read each instruction carefully, show your method, and use the answer key after attempting the question.
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