Volume (All topics inside)

Volume & it's units

• What are solids?
• Solids are objects having a definite shape and size. They come in different shapes, like cubes, cuboids, spheres, etc. These kinds of objects occupy a certain amount of space, which is called volume.
• What is Volume?
• The measure of the amount of space occupied by a 3D (solid) is called it's volume.
• UNITS OF VOLUME:
• 1) Cubic Centimeter
• We denote cubic centimetre by cu.cm or cm3.
• 2) Cubic Metre
• We denote cubic metre by cu.m or m3

Volume of a cuboid (With questions)

• Q1. Find the volume of a cuboid with length 4cm, breadth 3cm, and height 1cm.
• Length of cuboid = 4cm
• Breadth of a cuboid = 3cm
• Height of a cuboid = 1cm
• Volume of the cuboid = Length x Breadth x Height = 4 x 3 x 1 = 12 cm3
• Q2. Find the volume of a cuboid who's length is 16cm, breadth is 12cm and height is 8cm.
• Length of cuboid = 16cm
• Breadth if cuboid = 12cm
• Height of cuboid = 8cm
• Volume of cuboid = Length x Breadth x Height = 16cm x 12cm x 8cm = 1536 cm3

Volume of a cube (with questions)

• Q1. Find the volume of a cube whose each edge measures 8cm.
• Length of each side of the cube = 8cm
• Volume of the cube = Side x Side x Side = 8cm x 8cm x 8cm = 512 cm3
• Q2. Find the volume of a cube whose each edge measures 14cm.
• Length of each side of the cube = 14cm
• Volume of cube = Side x Side x Side = 14cm x 14cm x 14cm = 2744 cm3
• Q3. Find the volume of a cube whose each edge measures 6cm.
• Length of each side of the cube = 6cm
• Volume of the cube = Side x Side x Side = 6cm x 6cm x 6cm = 216 cm3

Word Problems (Volume of cuboid)

• Q1. How many bricks, each 24cm long, 125 cm wide and 8cm thick will be required to build a wall 18m long, 15m high and 50cm thick?
• Length of the wall = 18m = 18 x 100cm = 1800cm
• Breadth of the wall = 50cm
• Height of wall = 15m = 15 x 100cm = 1500cm
• Volume of the wall = Length x Breadth x Height = 1800 x 50 x 1500 = 135000000 cm3
• Length of a brick = 24cm
• Breadth of a brick = 125cm
• Height of a brick = 8cm
• Volume of a brick = Length x Breadth x Height = 24cm x 125cm x 8cm = 24000 cm
• Number of bricks needed = Volume of wall/Volume of 1 brick = 135000000/24000 = 5625
• Therefore, the number of bricks needed to build a wall 18m long, 15m high and 50cm thick = 5625

Word Problems (Cube)

• Q1. Each edge of a cubical box measures 160cm. How many cubical packets of edge 8cm can be packed in it?