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Volume

Volume

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Volume. Length. 1cm. Length is measured in mm, cm, m or km. Area. 1cm. 1cm. 1cm 2. Area is measured in mm 2 , cm 2 , m 2 or km 2 3cm 8cm Area = length x width Area = 8 x 3 = 24 cm 2. Volume. 4cm. 1cm. 4cm. 1cm. 4cm. 1cm. 1cm 3. - PowerPoint PPT Presentation

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VolumeLengthLength is measured in mm, cm, m or km.1cmArea is measured in mm2 , cm2, m2 or km2

3cm

8cm

Area = length x widthArea = 8 x 3 = 24 cm2Area1cm1cm1cm2VolumeVolume is measured in mm3, cm3, m3 or km3

Volume = length x width x heightVolume = 4 x 4 x 4 = 64cm34cm4cm4cm1cm1cm1cm1cm3Find the volume of these cuboids6cm3cm2cm10cm4cm2cmV = l x w x hV = 6 x 3 x 2 = 36cm3

V = l x w x hV = 10 x 4 x 2 = 80cm3

Find the volume of these shapes5cm5cm4cm5cm8cm2cmV = l x w x hV = 5 x 4 x 5 = 100cm3

V = l x w x hV = 8 x 2 x 5 = 80cm3

What could be the measurements of this cuboid?The length, width and height of a cuboid are all whole numbers of cm. Its volume is 48cm3. How many different sets of dimensions can you find?

12 x 4 x 18 x 6 x 18 x 3 x 26 x 4 x 24 x 4 x 3

48 x 1 x 124 x 2 x 116 x 3 x 112 x 2 x 2 What could be the measurements of this cuboid?The length, width and height of a cuboid are all whole numbers of cm. Its volume is 72cm3. How many different sets of dimensions can you find?

12 x 3 x 29 x 8 x 19 x 4 x 28 x 3 x 3

Find the missing lengths2cm2cm?cmVolume =36cm35cm2cm?cmV = l x w x h36= l x 2 x 2 36 = l x 4l =9cmV = l x w x h70 = l x 2 x 5 70 = l x 10l = 7cmVolume =70cm3Find the missing lengths5cm4cm?cm9cm2cm?cmV = l x w x h140= l x 5 x 4 140 = l x 20l =7cmV = l x w x h72 = l x 2 x 9 72 = l x 18l = 4cmVolume =72cm3Volume =140cm3Find the edgeA cube has a volume of 64cm3.

What is the length of one edge?4cm(4 x 4 x 4=64)Find the edgeA cube has a volume of 125cm3

What is the length of one edge?5cm(5 x 5x 5=125)Find the volumeFrom the areas of the faces, work out the length, width & height.Then calculate the volume.

30cm2

20cm26cm210 x 3 x 2 = 60cm3

Find the volumeFrom the areas of the faces, work out the length, width & height.Then calculate the volume.

8 x 5 x 4 = 160cm3

20cm240cm232cm2

Finding the volume of compound shapes.10cmSplit up the shape first.6cm9cm4cm4cm4cm4cm10cm6cm5cm10cm V = l x w x hv= 10 x 4 x 4=160cm3V = l x w x hv= 10 x 5 x 6=300cm3Total volume = 160 + 300 = 460cm3

Find the volume of this shape.12cm7cm8cm3cm7cm8cm8cm4cm3cm8cm8cmV = l x w x hv= 8 x 7 x 8=448cm3V = l x w x hv= 4 x 3 x 8=96cm3Total volume = 448 + 96 = 544cm3

Find the volume of this shape.3cm8cm2cm15cm4cm6cm3cm2cm4cm6cm3cm8cm8cm2cm3cm2cmV = l x w x hv= 4 x 2 x 6=48cm3V = l x w x hv= 3 x 2 x 8=48cm3Total volume = 48 + 48 +48 = 144cm3

V = l x w x hv= 8 x 2 x 3=48cm3Finding the volume of irregular shapes.Part fill a measuring cylinder.Measure the water.Lower object into the waterMeasure new level.Volume = 70 50 = 20cm3

50cm370cm3Find the volume of this irregular shape.50cm383cm3

Volume = 83 50 = 33cm3

Find the volume of this irregular shape.10cm

Volume = 150 100 = 50cm3

5cm6cmThe container below is filled with water.An object is lowered into the water and the container is now full. What is the volume of the object?