Geometry
GradesSixth GradeGeometrySurface Area Using Nets

Surface Area Using Nets

📐 Geometry
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Surface Area Using Nets

Unfold a 3D shape flat — then add up all the faces.

Surface area is the total area of all faces (flat surfaces) of a 3D figure. A net is a 2D pattern that folds up to make a 3D shape. Finding the area of each face in the net and summing them gives the total surface area. Surface area is measured in square units.

Rectangular Prism Faces

Top and Bottom: each = l × w (2 faces)Front and Back: each = l × h (2 faces)Left and Right: each = w × h (2 faces)

SA = 2(lw) + 2(lh) + 2(wh)

SA=2(lw+lh+wh)SA = 2(lw + lh + wh)
🎁Wrapping Paper Problem
Box: l = 8 cm, w = 5 cm, h = 3 cm.
lw = 40, lh = 24, wh = 15
SA = 2(40 + 24 + 15) = 2(79) = 158 cm²
You need at least 158 cm² of wrapping paper.
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Remember This!

Drawing the net explicitly before computing helps you visualize all 6 faces and ensures you do not forget any face or count one twice.

✏️ Try It!

A cube has side length 4 cm. What is its surface area?

Practice with CalcVerse
Take Quiz 📝 — 24 Questions