__maths__>__Mensuration : Length, Area, and Volume__>__Mensuration: Three Dimensional Shapes__### Volume : Cube, Cuboid, Cylinder

*In the topic "mensuration", the foundation focuses on learning • what is measurement standard? • Absolute and Derived Standards*

In this page, Finding volume of simple figures (cube, cuboid, and cylinder) are revised without much discussion.

*click on the content to continue..*

Which of the following is the measure of volume?

- distance-span between two points
- surface-span within a closed shape
- space-span within a closed solid
- space-span within a closed solid

The answer is "space-span within a closed solid"

What is the volume of a cube of side `a`?

- `6 xx a^2`
- `a^3`
- `a^3`

The answer is "`a^3`".

What is the volume of a cuboid of length `l`, breadth `b`, and height `h`?

- `lbh`
- `lbh`
- `2 xx (lb+bh+hl)`

The answer is "`lbh`".

What is the volume of a cylinder of height `h` and radius `r`? Note: As per Cavalieri's principle, the volume of cylinder equals volume of a solid of same cross-section at all height levels.

- area of cross section multiplied the height
- `pi xx r^2 xx h`
- both the above
- both the above

The answer is "both the above". The formula is explained in the next page.

**Volume of Some Solids** : Volume of cube `= a^3`

Volume of cuboid `= lbh`

Volume of cylinder `= pi r^2 h`

*Solved Exercise Problem: *

What is the volume of a cuboid of length `2cm`, breadth `3cm` and height `4cm`?

- `12cm^3`
- `24cm^3`

The answer is "`24cm^3`".

*slide-show version coming soon*