Summary for 3D Shapes
Summary of formulas for 3D shapes are:
| Shape | Formula |
|---|---|
| Cube |
Lateral Surface Area = 4s2 |
| Total Surface Area = 6s2 | |
| Volume = s3 | |
| Cuboid |
Lateral Surface Area = 2 × h (l + w) |
| Surface Area = 2lw + 2lh + 2wh | |
| Volume = l × w × h | |
| Sphere | Surface Area = 4πr2 |
| Volume = 4/3 πr³ | |
| Hemisphere |
Curved Surface Area = 2πr2 |
| Total Surface Area = 2πr2 + πr2 | |
| Volume = 2/3 πr3 | |
| Cylinder | Curved Surface Area = 2πrh |
| Total Surface Area = 2πr2 + 2πrh | |
| Volume = πr2h | |
| Cone | Curved Surface Area = πrl |
| Total Surface Area = πr2 + πrl | |
| Volume = 1/3 πr2h | |
| Pyramid | Surface Area = (1/2 × Perimeter of base × slant height) + Base Area |
| Volume = 1/3 × Base Area × Height |
Where,
- s is the length of a side (for cube).
- l is the length, w is the width, and h is the height (for cuboid).
- r is the radius of the sphere, hemisphere, cylinder, or cone.
- h is the height of the cylinder or cone.
- l is the slant height of the cone
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Mensuration Formulas
Mensuration is the branch of geometry that deals with the measurement of area, length, or volume in 2D and 3D shapes. The 2D and 3D shapes are often called geometric shapes. In this article, we have curated all the mensuration formulas for various 2-D and 3-D shapes in detail.
Mensuration Formulas