In the Geometry section of GRE quantitative aptitude syllabus, three-dimensional figures hold the important place in it. And a GRE aspirant should be sure enough that they would be solving at least one or two question based on this topic. Three-dimensional figures are even though seems intimidating needs just a bit of effort to master it. So, don’t neglect it, in place master it to score well on D- day.

So, what is a three- dimensional figure?

A three-dimensional figure always has length, breadth, and height whereas; a two-dimensional will only have length and breadth. Common three dimensional figures to appear in the syllabus of GRE are cube, cuboid, prism, cone etc.

Let us understand these shapes one at a time along with their volume and surface area formulas.

**Cube: **It is a square box whose all sides are equal and spread at an angle of 90°.

Where, a = base = length = height and a = side of the cube

**Cuboid: **Cuboid is a rectangular solid.

**Sphere: **Balls, football, cricket ball etc. are example of spheres.

\(Volume \; of \; Sphere = V = \frac{4}{3} \pi r^{2}\) \(Surface \; Area \; of \; Sphere = A = 4 \pi r^{2}\)

**Pyramid: **You can even calculate the volume and surface area of the great Pyramids of Egypt. Shocked? Don’t be! The Great Pyramids of Egypt are example of the pyramids that we study in three- dimensional geometry.

Where, l = length, b = breadth, h = height

**Square Pyramid: **Square pyramid is a type of pyramid that has square base. It is a polyhedron in nature.

**Cone:** Ever enjoyed the delicious and chilling ice-cream cone? Who hasn’t! Ice- creams are favorites of all but have you ever paid attention to the shape of the cone? It is circular at one side and pointed at the other.

\(Volume \; of \; a \; Cone = V = \pi r^{2} \frac{h}{3}\)\(Surface \; Area \; of \; a \; Cone = A = \pi r (r + \sqrt{h^{2} + r^{2}})\)

\(Surface \; Area \; of \; a \; Cone = A = \pi r (r + \sqrt{h^{2} + r^{2}})\)Where r = radius, h = height

**Cylinder:** Cylinder is a solid geometrical figure with straight parallel sides and a circular or oval cross section.