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Volume of Cuboids. How many small cubes are in each of these cubes / cuboids?. a. b. c. d. Starter:. 4 cubes. 8 cubes. 6 cubes. 12 cubes. e. f. g. h. 16 cubes. 27 cubes. 45 cubes. 64 cubes. Investigation.
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Volume of Cuboids How many small cubes are in each of these cubes / cuboids? a b c d Starter: 4 cubes 8 cubes 6 cubes 12 cubes e f g h 16 cubes 27 cubes 45 cubes 64 cubes Investigation Other than counting the number of cubes, is there a mathematical way to work out the number of cubes in each cube / cuboid?Is it quicker than counting?
Volume of Cuboids How many small cubes are inside this larger cuboid? Is there a quicker way to work out the number of cubes? Intro: 4 x 3 x 5 = 60 cubes 3 cubes 5 cubes 4 cubes How many small cubes are inside this larger cuboid? 7 x 4 x 6 = 168 cubes 4 cubes 6 cubes 7 cubes
Volume of Cuboids Volume is the amount of 3–dimensional space an object occupies. Units of volume – mm3, cm3, m3 etc. Volume: A volume of 1cm3 is a cube of size 1cm by 1cm by 1cm 1cm 1cm 1cm Work out the volume of these cuboids if each small cube has a volume of 1cm3. 4 x 2 x 3 = 24cm3 6 x 2 x 6 = 72cm3 5 x 5 x 5 = 125cm3
Volume of Cuboids How can we work out the volume of a cuboid? Volume of a cuboid = Length x width x height Volume: V = l x w x h Height (h) Length (l) Width (w) Work out the volumes of these cuboids. 6 x 10 x 4 = 240cm3 3 x 4 x 3 = 36cm3 4cm 3cm 6cm 3cm 4cm 10cm
Volume of Cuboids Find the volume of cuboids WALT: WILF: Is the answer to: Is the answer to: Is the answer to: Work out the volume of the prism. Each small cube has a volume of 1cm3 find the volume of the whole cuboid. Work out the volume Super Spectacular Fantastic Area Cross section Cylinder Prism Volume Keywords
29.5.19 Volume of 3D Shapes WALT Find the volume of 3D shapes. • Super: HAM Pupil Book 5 P47, 49 • Fantastic: TJ 1b P217-218 • Spectacular: TJ 2a P134-138 Additional Challenges in Chilli trays
1 Work out the volume of these cuboids if each small cube has a volume of 1cm3 a b c d 6cm3 16cm3 18cm3 12cm3 Exercise 1: 2 Work out the volume of these cuboids. a b c d 3cm 8cm 60cm3 2cm 160cm3 8cm 120cm3 112m3 4m 4cm 5cm 10cm 5cm 4m 3cm 7m 3 Work out the volume of these cubes. a b c 3cm 27cm3 64cm3 216cm3 4cm 6cm Boxes of tea are packed into cartons. A box of tea measures 8cm by 6cm by 12cm.A carton measures 56cm by 30cm by 36cm. The carton is completely filled with boxes,Work out the number of boxes that will fill one carton. Problem Solving 576cm3 Carton 60,480 cm3 Box 36cm 12cm 6cm 8cm 30cm 56cm 60,480 ÷ 576 = 105 boxes
Volume of Cuboids Can you work out the missing length of this cuboid? Volume = 84cm3 Missing?: 84 ÷ 7 ÷ 3 = 4cm 3cm ? cm 7cm
1 Work out the missing lengths on these cuboids. a 24cm3 b 30cm3 c d 540cm3 264cm3 6cm ?cm 3cm 4cm ?cm 6cm Exercise 2: 15cm ?cm ?cm 3cm 4cm 2cm 2cm 5cm 11cm 6cm 2 Work out the missing lengths on these cubes. 8cm3 64cm3 125cm3 1000cm3 a b c d 2cm 4cm 5cm 10cm What is the smallest cube that you canput in the box so that you cannot fit anotherthat’s the same into it? NRICH: Box 10cm 8cm 12cm
Volume of Cuboids Find the volume of cuboids Level 4 WALT: WILF: Is the answer to: Is the answer to: Is the answer to: Each small cube has a volume of 1cm3 find the volume of the whole cuboid. Work out the volume Work out the volume of the prism. Level 5 Level 7 Level 6 Area Cross section Cylinder Prism Volume Keywords