SAT Math · Study & Practice
Surface Area and Volume
Solid figures have two key measures: volume (space inside) and surface area (the total outer covering). This chapter covers cubes, cuboids, cylinders, cones, spheres, prisms and pyramids. Read each topic, work the problems with the hint ladder, then take the 8-question topic test.
Topics
1
Cubes
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2
Cuboids
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3
Cylinders
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4
Cones
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5
Spheres
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6
Prisms
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7
Pyramids
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Chapter test
Formula Reference Sheet
This chapter
Volume
| Cube | edge³ |
|---|---|
| Box / cylinder | l·w·h / πr²h |
| Cone / pyramid | ⅓ × base area × height |
| Sphere | (4/3)πr³ |
Surface area
| Cube | 6 × edge² |
|---|---|
| Box | 2(lw + lh + wh) |
| Sphere | 4πr² |
Digital SAT reference
Area & Circumference
| Circle area | A = πr² |
|---|---|
| Circle circumference | C = 2πr |
| Rectangle | A = ℓw |
| Triangle | A = ½ b h |
Volume
| Rectangular box | V = ℓwh |
|---|---|
| Cylinder | V = πr²h |
| Sphere | V = 4⁄3 πr³ |
| Cone | V = 1⁄3 πr²h |
| Pyramid | V = 1⁄3 ℓwh |
Right triangles
| Pythagorean theorem | a² + b² = c² |
|---|---|
| 30°–60°–90° | sides x : x√3 : 2x |
| 45°–45°–90° | sides s : s : s√2 |
Constants
| Degrees in a circle | 360° |
|---|---|
| Radians in a circle | 2π |
| Angles of a triangle | sum = 180° |
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