goteachmaths.co.uk Volume of a Cuboid – Complete Lesson

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goteachmaths.co.uk Volume of a Cuboid – Complete Lesson Delete unwanted slides. To print slides, go to File>Print>Choose Print current slide.

14 January 2019 Volume of a Cuboid

6 faces, 8 vertices, and 12 edges. Cube or cuboid? 5cm 6cm 7cm 6cm 5cm 6cm A cube’s sides are all equal. 2cm A cuboid has 6 faces, 8 vertices, and 12 edges. 8cm 4cm

Volume of a cuboid = Width x Height x Length 1cm 1cm 1cm = 1cm3 3cm Height 5cm Length 6cm Width Volume of a cuboid = Width x Height x Length = 6 x 3 x 5 = 90 cm3

Volume of a cuboid = Width x Height x Length 1cm 1cm 1cm = 1cm3 3cm Height 5cm Length 6cm Width No animations. Volume of a cuboid = Width x Height x Length = 6 x 3 x 5 = 90 cm3

Volume of a Cuboid = Width x Height x Length 3cm 5cm 40mm Volume of a Cuboid = Width x Height x Length = 40 x 3 x 5 = 600cm3 Units must be the same! = 4 x 3 x 5 = 60cm3

7m 3cm 5cm 2m 4cm 5m 5cm 7cm 5mm 4cm 4cm 1cm 1.5cm 3cm

7m 3cm 5cm 2m 4cm = 60cm3 5m = 70m3 7cm 5mm 4cm = 14cm3 = 55.5cm3 5cm

Volume of a Compound Cuboid Split the shape to find the area of the cross-section. 3cm A: 3 x 7 = 21cm2 B: 3 x 3 = 9cm2 A 7cm 3cm A + B = 30cm2 B 3cm Multiply the cross-section by the length. 4cm 6cm Volume = 30 x 3 = 90cm3

Volume of a Compound Cuboid Split the shape to find the area of the cross-section. 3cm A: 3 x 7 = 21cm2 B: 3 x 3 = 9cm2 A 7cm 3cm A + B = 30cm2 B 3cm Multiply the cross-section by the length. 4cm No animations. 6cm Volume = 30 x 3 = 90cm3

1d.p. 7.5cm 4cm 6cm 25mm 3.5cm 4.5cm 4cm 2cm 1cm 3cm 6cm 2cm 4cm 1cm 7cm 2cm 4cm

1d.p. 7.5cm 4cm 6cm 25mm = 84.4cm3 3.5cm = 84cm3 4.5cm 4cm = 72cm3 = 140cm3 2cm 1cm 3cm 6cm 2cm 4cm 1cm 7cm 2cm 4cm

Calculate the volume of these cuboids. Complete the table for these cuboids. a Cuboid Width Height Length Volume A 5cm 7cm 5.5cm B 6cm 4.5cm 189cm3 C 94.5cm3 D 8.5cm 148.75cm3 E 2.4cm 3.2cm 6.7cm b 3cm 6cm 5cm 6cm 2cm 8cm 7cm c d 5.5cm 10cm f) These are the side lengths of cubes. Calculate their volumes. g) These are the volumes of cubes. Calculate their side lengths. 3cm 8cm 5mm 3.5m 0.5cm 64cm3 125m3 343mm3 2.744cm3 This is a cube. What is it’s volume? 8cm 2cm e These two cuboids are identical. The volume of this cuboid is 105cm3. What is the cuboid’s length? 45mm i h 50mm f 6cm 1cm 2cm 1cm g 60mm 3cm 5cm j 2.5cm The volume of a cuboid is 64m3. Its height is twice its width. Its length is twice its height. What are the cuboid’s dimensions? 5cm 6cm 2.5cm 4cm 5.5cm 2cm 3cm

90cm3 84cm3 240cm3 4cm 512cm3 88cm3 5m 125mm3 7mm 42.875m3 1.4cm Calculate the volume of these cuboids. Complete the table for these cuboids. a Cuboid Width Height Length Volume A 5cm 7cm 5.5cm 192.5cm3 B 6cm 4.5cm 189cm3 C 3.5cm 94.5cm3 D 8.5cm 2.5cm 148.75cm3 E 2.4cm 3.2cm 6.7cm 51.456cm3 90cm3 b 84cm3 3cm 6cm 5cm 6cm 2cm 8cm 7cm c 240cm3 d 5.5cm 10cm f) These are the side lengths of cubes. Calculate their volumes. g) These are the volumes of cubes. Calculate their side lengths. 4cm 5m 7mm 1.4cm 3cm 512cm3 125mm3 42.875m3 0.125cm3 88cm3 8cm 5mm 3.5m 0.5cm 64cm3 125m3 343mm3 2.744cm3 This is a cube. What is it’s volume? 8cm 2cm e These two cuboids are identical. 216cm3 The volume of this cuboid is 105cm3. What is the cuboid’s length? 45mm i h 50mm 16875mm3 f 6cm 1cm 2cm 1cm g 60mm 3cm 5cm j 2.5cm The volume of a cuboid is 64m3. Its height is twice its width. Its length is twice its height. What are the cuboid’s dimensions? 5cm 6cm 34.5cm3 2.5cm 7cm 4cm 5.5cm 2cm 2cm, 4cm, 8cm 102cm3 3cm

Check your success! I can calculate the volume of a cube. I can calculate the volume of a cuboid. I can calculate the volume of a compound cuboid.

Check your success! I can calculate the volume of a cube. I can calculate the volume of a cuboid. I can calculate the volume of a compound cuboid. Optional addition. Effort this lesson?