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Volume and surface area of prisms

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Learn it Prism volume = base area × length. Surface area = sum of all faces (two bases + the rectangles around the sides).

Example: A triangular prism has a 3-4-5 right-triangle base and is 10 cm long. Find its volume and surface area.

  1. Base area: $\frac{1}{2} \times 3 \times 4 = 6$; volume $= 6 \times 10 = 60$ cm³.
  2. Sides: $(3 + 4 + 5) \times 10 = 120$; bases: $2 \times 6 = 12$.
  3. Surface area $= 132$ cm².

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