Volume and Surface Area
Volume and Surface Area – General Questions Practice different types of aptitude test for free, including numerical and verbal tests. All questions come with worked solutions to help you improve.
What is Surface Area?
The space occupied by a two-dimensional flat surface is called the area. It is measured in square units. The area occupied by a three-dimensional object by its outer surface is called surface area. It is also measured in square units.
Generally, Area can be of two types:
(i) Total Surface Area
(ii) Curved Surface Area/Lateral Surface Area
Total surface area
Total surface area refers to the area including the base(s) and the curved part. It is total of the area covered by the surface of the object. If the shape has curved surface and base, then total area will be the sum of the two areas.
Curved surface area/Lateral surface area
Curved surface area refers to the area of only the curved part of the shape excluding its base(s). It is also referred to as lateral surface area for shapes such as a cylinder.
What is Volume?
The amount of space, measured in cubic units, that an object or substance occupies is called volume. Two-dimensional doesn’t have volume but has area only. For example, Volume of Circle cannot be found, though Volume of the sphere can be. It is so because a sphere is a three-dimensional shape.
Surface Area and Volume Formulas
Below given is the table for calculating Surface area and Volume for the basic geometrical figures:
| Name | Perimeter | Total Surface Area | Curved Surface Area/Lateral Surface Area | Volume | |
| Square | 4a | a2 | —- | —- | |
| Rectangle | 2(w+h) | w.h | —- | —- | |
| Parallelogram | 2(a+b) | b.h | —- | —- | |
| Trapezoid | a+b+c+d | 1/2(a+b).h | —- | —- | |
| Circle | 2 π r | π r2 | —- | —- | |
| Ellipse | 2π√(a2 + b2)/2 | π a.b | —- | —- | |
| Triangle | a+b+c | 1/2 * b * h | —- | —- | |
| Cuboid | 4(l+b+h) | 2(lb+bh+hl) | 2h(l+b) | l * b * h | |
| Cube | 6a | 6a2 | 4a2 | a3 | |
| Cylinder | —- | 2 π r(r+h) | 2πrh | π r2 h | |
| Cone | —- | π r(r+l) | π r l | 1/3π r2 h | |
| Sphere | —- | 4 π r2 | 4π r2 | 4/3π r3 | |
| Hemisphere | —- | 3 π r2 | 2 π r2 | 2/3π r3 |