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Surface Area of Prisms

5 min readGrade 7 · Measurement

Surface area is the total area you'd need to wrap the outside of a 3D shape. Students draw nets — unfolded versions of prisms — to see each face clearly, calculate its area, and sum them up. The practical contexts (wrapping a gift, painting a room) make the distinction between faces, edges, and vertices concrete.

What students explore

Surface area is the total area you'd need to wrap the outside of a 3D shape. Students draw nets — unfolded versions of prisms — to see each face clearly, calculate its area, and sum them up. The practical contexts (wrapping a gift, painting a room) make the distinction between faces, edges, and vertices concrete.

Key ideas

Calculate the surface area of rectangular and triangular prisms by finding the area of each face. Apply surface area to real-world contexts: wrapping, painting, packaging. Distinguish surface area (2D sum of faces) from volume (3D capacity). Draw and label nets of prisms.

Putting it together

Apply these ideas through hands-on activities, guided practice, and real-world problems.

KEY VOCABULARY
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