Geometry · Foundation · 9 min

Surface area

Surface area counts the material needed to cover the outside, face by face.

WHAT HAPPENS IF…For x=2, y=1.5, z=1, what is the surface area?
Interactive exploration
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Connect the picture to the ideaS=2xy+2xz+2yzS=2xy+2xz+2yz

A rectangular box has three pairs of congruent faces. Their areas are xy, xz, and yz. The unfolded net preserves each face’s size and makes the factor of two visible. Volume xyz measures a different quantity and has different units.

A detail that matters

Do not confuse square units of surface area with cubic units of volume.

Keep the connection going

One idea leads to another.

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