Mensuration : Length, Area, and Volume : Volume : Cube, Cuboid, Cylinder

maths > mensuration-basics

Volume : Cube, Cuboid, Cylinder

what you'll learn...

Overview

Volume of Some Solids : Volume of cube $= a^{3}$ $= a^3$ Volume of cuboid $= l b h$ $= lbh$ Volume of cylinder $= π r^{2} h$ $= pi r^2 h$

volume

Volume is the "space-span within a closed 3D-solid".

The volume of a cube of side $a$ $a$ is " $a^{3}$ $a^3$ ".

The volume of a cuboid of length $l$ $l$ , breadth $b$ $b$ , and height $h$ $h$ is " $l b h$ $lbh$ ".

The volume of a cylinder of height $h$ $h$ and radius $r$ $r$ is the area of cross section multiplied the height, given by $π \times r^{2} \times h$ $pi xx r^2 xx h$

What is the volume of a cuboid of length $2$ $2$ cm, breadth $3$ $3$ cm and height $4$ $4$ cm?
The answer is " $24 c m^{3}$ $24cm^3$ ".

summary

Volume of Some Solids : Volume of cube $= a^{3}$ $= a^3$ Volume of cuboid $= l b h$ $= lbh$ Volume of cylinder $= π r^{2} h$ $= pi r^2 h$

Outline

The outline of material to learn "Mensuration basics : Length, Area, & Volume" is as follows.

Note: click here for detailed outline of Mensuration (Basics).

• Measuring Basics

→ Introduction to Standards

→ Measuring Length

→ Accurate & Approximate Meaures

→ Measuring Area

→ Measuring Volume

→ Conversion between Units of Measure

• 2D shapes

→ Perimeter of Polygons

→ Area of Square & rectangle

→ Area of Triangle

→ Area of Polygons

→ Perimeter and area of a Circle

→ Perimeter & Area of Quadrilaterals

• 3D shapes

→ Surface Area of Cube, Cuboid, Cylinder

→ Volume of Cube, Cuboid, Cylinder