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Surface area of triangular prisms from a net

Grade 6 math · Fieldbook Learning

Name ______________________ Date __________

Find the areas of all five faces: the two triangles and the three rectangles. For each triangle, use the two legs as the base and height.

  1. A net folds into a triangular prism. Its two triangles are right triangles with legs 3 in and 4 in and longest side 5 in. The prism is 19 in long. The net also has three rectangles. What is the surface area of the prism in square inches?
  2. A net folds into a triangular prism. Its two triangles are right triangles with legs 3 m and 4 m and longest side 5 m. The prism is 6 m long. The net also has three rectangles. What is the surface area of the prism in square meters?
  3. A net folds into a triangular prism. Its two triangles are right triangles with legs 3 in and 4 in and longest side 5 in. The prism is 8 in long. The net also has three rectangles. What is the surface area of the prism in square inches?
  4. A net folds into a triangular prism. Its two triangles are right triangles with legs 3 in and 4 in and longest side 5 in. The prism is 9 in long. The net also has three rectangles. What is the surface area of the prism in square inches?
  5. A net folds into a triangular prism. Its two triangles are right triangles with legs 5 in and 12 in and longest side 13 in. The prism is 14 in long. The net also has three rectangles. What is the surface area of the prism in square inches?
  6. A net folds into a triangular prism. Its two triangles are right triangles with legs 5 in and 12 in and longest side 13 in. The prism is 10 in long. The net also has three rectangles. What is the surface area of the prism in square inches?
  7. A net folds into a triangular prism. Its two triangles are right triangles with legs 5 ft and 12 ft and longest side 13 ft. The prism is 3 ft long. The net also has three rectangles. What is the surface area of the prism in square feet?
  8. A net folds into a triangular prism. Its two triangles are right triangles with legs 3 m and 4 m and longest side 5 m. The prism is 16 m long. The net also has three rectangles. What is the surface area of the prism in square meters?
  9. A net folds into a triangular prism. Its two triangles are right triangles with legs 6 cm and 8 cm and longest side 10 cm. The prism is 16 cm long. The net also has three rectangles. What is the surface area of the prism in square centimeters?
  10. A net folds into a triangular prism. Its two triangles are right triangles with legs 3 in and 4 in and longest side 5 in. The prism is 6 in long. The net also has three rectangles. What is the surface area of the prism in square inches?
  11. A net folds into a triangular prism. Its two triangles are right triangles with legs 3 ft and 4 ft and longest side 5 ft. The prism is 3 ft long. The net also has three rectangles. What is the surface area of the prism in square feet?
  12. A net folds into a triangular prism. Its two triangles are right triangles with legs 6 m and 8 m and longest side 10 m. The prism is 17 m long. The net also has three rectangles. What is the surface area of the prism in square meters?
  13. A net folds into a triangular prism. Its two triangles are right triangles with legs 5 m and 12 m and longest side 13 m. The prism is 3 m long. The net also has three rectangles. What is the surface area of the prism in square meters?
  14. A net folds into a triangular prism. Its two triangles are right triangles with legs 9 in and 12 in and longest side 15 in. The prism is 17 in long. The net also has three rectangles. What is the surface area of the prism in square inches?
  15. A net folds into a triangular prism. Its two triangles are right triangles with legs 16 in and 30 in and longest side 34 in. The prism is 3 in long. The net also has three rectangles. What is the surface area of the prism in square inches?
  16. A net folds into a triangular prism. Its two triangles are right triangles with legs 5 in and 12 in and longest side 13 in. The prism is 11 in long. The net also has three rectangles. What is the surface area of the prism in square inches?
  17. A net folds into a triangular prism. Its two triangles are right triangles with legs 21 cm and 72 cm and longest side 75 cm. The prism is 10 cm long. The net also has three rectangles. What is the surface area of the prism in square centimeters?
  18. A net folds into a triangular prism. Its two triangles are right triangles with legs 14 m and 48 m and longest side 50 m. The prism is 12 m long. The net also has three rectangles. What is the surface area of the prism in square meters?
  19. A net folds into a triangular prism. Its two triangles are right triangles with legs 5 in and 12 in and longest side 13 in. The prism is 9 in long. The net also has three rectangles. What is the surface area of the prism in square inches?
  20. A net folds into a triangular prism. Its two triangles are right triangles with legs 15 ft and 36 ft and longest side 39 ft. The prism is 15 ft long. The net also has three rectangles. What is the surface area of the prism in square feet?
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Answer key: Surface area of triangular prisms from a net

  1. 240
  2. 84
  3. 108
  4. 120
  5. 480
  6. 360
  7. 150
  8. 204
  9. 432
  10. 84
  11. 48
  12. 456
  13. 150
  14. 720
  15. 720
  16. 390
  17. 3,192
  18. 2,016
  19. 330
  20. 1,890