What is the formula for surface area of a rectangular solid?

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The formula for the surface area of a rectangular solid, or a cuboid, is indeed represented by the expression that includes terms for all six faces of the shape. The correct formula, SA = 2lw + 2lh + 2hw, accounts for the dimensions of the solid, where 'l' represents the length, 'w' represents the width, and 'h' represents the height.

In this formula, each pair of identical faces of the rectangular solid contributes to the total surface area. Specifically, there are two faces for each pair of opposite sides:

  • The two faces with dimensions length 'l' and width 'w' contribute 2lw.

  • The two faces with dimensions length 'l' and height 'h' contribute 2lh.

  • The two faces with dimensions width 'w' and height 'h' contribute 2hw.

By adding these contributions together, the formula provides the complete surface area, encompassing all sides of the rectangular solid.

Other options do not reflect the correct aspects of calculating surface area. For instance, one option simplifies the expression and neglects to include all necessary dimensions and face pairs, leading to an incomplete representation of the surface area. Another option fails to include the necessary multiplication by

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