MathGeometry & TrigonometryLow frequency

SAT Math: Surface Area of 3D Figures

15+ practice questions in Praczo

What you need to know

The concept, explained

  • 1

    Surface area is the total area of all the faces of a 3D object added together.

  • 2

    For a rectangular prism, the formula is 2lw + 2lh + 2wh.

  • 3

    For a cylinder, the formula is 2πr² (the two circular bases) + 2πrh (the rectangular wrap around the side).

  • 4

    If the SAT asks for the surface area of a cube, it's 6s² (since all 6 faces are squares with area s²).

  • 5

    Read carefully: sometimes they ask for the area including only the walls and floor, but excluding the ceiling (so subtract one face).

Common mistakes
  • Calculating volume instead of surface area.
  • Forgetting to multiply the area of one face by the total number of identical faces.
Try a sample question

SAT-style practice

What is the total surface area of a cube with a side length of 4?

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