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Grade 6 math · X.3 · Volume and Surface Area

Surface area word problems about wrapping and painting boxes

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

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  1. Sam paints the outside of a box that is 2 m long, 4 m wide and 4 m tall. The box has a lid, so all six faces are painted. How many square meters are painted?

    Answer: 64

  2. Noah paints the outside of a box that is 4 ft long, 5 ft wide and 6 ft tall. The box has a lid, so all six faces are painted. How many square feet are painted?

    Answer: 148

  3. Lena wraps a gift box that is 2 cm long, 2 cm wide and 5 cm tall. The paper covers the whole box with no overlap. How many square centimeters of paper are needed?

    Answer: 48

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

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