VOLUME The volume of a 3D shape is the amount of space within that solid.

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Presentation transcript:

VOLUME The volume of a 3D shape is the amount of space within that solid.

Count the unit3

1 cube = 1 unit3

How many unit3 are there? 15 unit3

How many unit3 are there? 12 unit3

How many unit3 are there? 13 unit3

How many unit3 are there? 10 unit3

Volume of Cube Shape Cubes counted Length, l Breadth, b Height, h Volume of shape =

Look at this cube carefully

1st layer 16 unit3 1st + 2nd layer 1 6 unit3 + 1 6 unit3 3 2 unit3

Counting unit3 is just piece of cake.. 1st + 2nd + 3rd layer 3 2 unit3 + 1 6 unit3 4 8 unit3

1st + 2nd + 3rd + 4th layer 4 8 unit3 + 1 6 unit3 6 4 unit3

4 unit 4 unit 4 unit Total cubes: 64 unit3

Volume = l × b × h = 4 unit × 4 unit × 4 unit = 16 unit2 × 4 unit

The table you formed Shape Cube Cubes counted 64 unit3 Length, l Breadth, b Height, h Volume of shape, l × b × h

Look at this cuboid closely

1st layer 9 unit3 1st + 2nd layer 9 unit3 + 9 unit3 1 8 unit3

1st + 2nd + 3rd layer 1 8 unit3 + 9 unit3 2 7 unit3

1st + 2nd + 3rd + 4th layer 2 7 unit3 + 9 unit3 3 6 unit3

4 unit 3 unit 3 unit Total cubes: 36 unit3

Volume = l × b × h = 3 unit × 3 unit × 4 unit = 9 unit2 × 4 unit

The table you formed Shape Cuboid Cubes counted 36 unit3 Length, l Breadth, b Height, h 4 unit Volume of shape, l × b × h

Volume = length × breadth × height Therefore, Volume = length × breadth × height

Calculate the volume of the cube below Question 1 Calculate the volume of the cube below 5cm 125cm3

Calculate the volume of the cuboid below Question 2 Calculate the volume of the cuboid below 5m 4m 80m3

Calculate the volume of the cube below Question 3 Calculate the volume of the cube below 10m 1000m3

Calculate the volume of the cuboid below Question 5 Calculate the volume of the cuboid below 10cm 3cm 90cm3

Volume = length × breadth × height Conclusion(song) How do you calculate volume of cube and cuboid? Volume = length × breadth × height

Extension Question How many small boxes fit into the big one? 3000  240000……..80 boxes

1 litre = 1000ml also 1 litre = 1000cm3 Did you know? Therefore  1ml = 1cm3