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Surface area word problems about wrapping and painting boxes

Year 7 maths · Fieldbook Learning

Name ______________________ Date __________

Decide which faces are covered or painted, then find their total area. If the question gives a price per square unit, multiply by it.

  1. Omar paints the outside of a box that is 5 ft long, 2 ft wide and 6 ft tall. The box has no lid, so only the bottom and four sides are painted. How many square feet are painted?
  2. Noah paints the outside of a box that is 3 m long, 3 m wide and 4 m tall. The box has a lid, so all six faces are painted. How many square metres are painted?
  3. Zoe paints the outside of a box that is 6 m long, 5 m wide and 2 m tall. The box has no lid, so only the bottom and four sides are painted. How many square metres are painted?
  4. Lena wraps a gift box that is 2 in long, 2 in wide and 4 in tall. The paper covers the whole box with no overlap. How many square inches of paper are needed?
  5. Lena paints the outside of a box that is 4 ft long, 2 ft wide and 4 ft tall. The box has a lid, so all six faces are painted. How many square feet are painted?
  6. Zoe paints the outside of a box that is 10 m long, 3 m wide and 3 m tall. The box has a lid, so all six faces are painted. How many square metres are painted?
  7. Jack paints the outside of a box that is 6 m long, 8 m wide and 4 m tall. The box has no lid, so only the bottom and four sides are painted. How many square metres are painted?
  8. Lena wraps a gift box that is 2 cm long, 2 cm wide and 6 cm tall. The paper covers the whole box with no overlap. How many square centimetres of paper are needed?
  9. Omar paints the outside of a box that is 2 m long, 8 m wide and 8 m tall. The box has no lid, so only the bottom and four sides are painted. Paint costs £5 for each square metre. What is the total cost, in pounds?
  10. Lena wraps a gift box that is 5 in long, 5 in wide and 8 in tall. The paper covers the whole box with no overlap. How many square inches of paper are needed?
  11. Jack paints the outside of a box that is 10 ft long, 10 ft wide and 10 ft tall. The box has no lid, so only the bottom and four sides are painted. Paint costs £6 for each square foot. What is the total cost, in pounds?
  12. Ana wraps a gift box that is 7 cm long, 4 cm wide and 2 cm tall. The paper covers the whole box with no overlap. How many square centimetres of paper are needed?
  13. Ana wraps a gift box that is 10 in long, 9 in wide and 4 in tall. The paper covers the whole box with no overlap. How many square inches of paper are needed?
  14. Ana paints the outside of a box that is 5 m long, 7 m wide and 4 m tall. The box has a lid, so all six faces are painted. Paint costs £9 for each square metre. What is the total cost, in pounds?
  15. Noah wraps a gift box that is 6 cm long, 8 cm wide and 4 cm tall. The paper covers the whole box with no overlap. How many square centimetres of paper are needed?
  16. Sam paints the outside of a box that is 10 m long, 5 m wide and 5 m tall. The box has no lid, so only the bottom and four sides are painted. How many square metres are painted?
  17. Jack paints the outside of a box that is 11 m long, 2 m wide and 10 m tall. The box has a lid, so all six faces are painted. Paint costs £8 for each square metre. What is the total cost, in pounds?
  18. Ravi paints the outside of a box that is 5 ft long, 16 ft wide and 19 ft tall. The box has no lid, so only the bottom and four sides are painted. Paint costs £3 for each square foot. What is the total cost, in pounds?
  19. Noah paints the outside of a box that is 14 m long, 8 m wide and 4 m tall. The box has a lid, so all six faces are painted. How many square metres are painted?
  20. Sam wraps a gift box that is 10 cm long, 10 cm wide and 3 cm tall. The paper covers the whole box with no overlap. How many square centimetres of paper are needed?
More free practice: fieldbooklearning.com/uk/practice/year-7/surface-area-word-problems-about-wrapping-and-painting-boxes/

Answer key: Surface area word problems about wrapping and painting boxes

  1. 94
  2. 66
  3. 74
  4. 40
  5. 64
  6. 138
  7. 160
  8. 56
  9. 880
  10. 210
  11. 3,000
  12. 100
  13. 332
  14. 1,494
  15. 208
  16. 200
  17. 2,432
  18. 2,634
  19. 400
  20. 320