www mathsrevision com N 5 Num Volume Cube

www. mathsrevision. com N 5 Num Volume Cube & Cuboid Volume of a Prism Volume of a Cylinder Capacity

Starter Questions www. mathsrevision. com N 5 Num Q 1. Find the area of the triangle. 3 cm Q 2. Expand out and simplify 2 w 2 – 3(2 w – 5) Q 3. True or false Q 4. Rearrange into the form y = 10 cm 4 cm 2 y – 3 x + 7 = 0 Tuesday, May 18, 2021 Created by Mr. Lafferty 2

Volume www. mathsrevision. com N 5 Num 18 -May-21 Learning Intention 1. We are revising volume of a cuboid. Success Criteria 1. Know formulae. 2. Use formulae correctly. 3. Show working and appropriate units. Compiled by Mr. Lafferty Maths Dept.

Volume of a cuboid www. mathsrevision. com N 5 Num 18 -May-21 18 cubes fit the base. 4 cm 6 cm 3 cm = 1 centimetre cube = 1 cm³ 4 layers of 18 cubes = 4 x 18 = 72 centimetre cubes = 72 cm³ Compiled by Mr. Lafferty Maths Dept.

A short cut ! www. mathsrevision. com N 5 Num height Area of rectangle 4 cm 6 cm 3 cm breadth length Volume = 6 x 3 x 4 = 72 cm³ Volume = length x breadth x height 18 -May-21 Compiled by Mr. Lafferty Maths Dept.

N 5 Num Example Working Volume = l x b x h V = 18 x 5 x 27 V = 2430 cm³ 27 cm 5 Heilander’s cm 18 -May-21 Porridge Oats 18 cm Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com N 5 Num 18 -May-21 Example Working Volume = l x b x h V=2 x 2 x 2 V = 8 cm³ 2 cm Compiled by Mr. Lafferty Maths Dept.

Find the volume of the composite shape. www. mathsrevision. com N 5 Num 5 cm VT = V 1 + V 2 7 cm 3 cm VT = 105 + 720 9 cm V 1 = l x b x h =3 x 5 x 7 = 105 cm³ 10 cm 18 -May-21 8 cm Compiled by Mr. Lafferty Maths Dept. VT = 825 cm 3 V 2 = l x b x h = 8 x 10 x 9 = 720 cm³

Find the length the cuboid www. mathsrevision. com N 5 Num 18 -May-21 4 cm V=200 cm 3 This just an equation. We know how to solve them ! Volume = L x B x H 5 cm 200 = L x 5 x 4 200 = 20 L 10 L cm 20 L = 200 L = 10 Compiled by Mr. Lafferty Maths Dept.

Example N 5 Num Liquid Volume Working Volume = l x b x h V = 100 x 30 x 50 V = 150 000 cm³ 30 50 cm cm = 150 000 ml = 150 litres 100 cm How much water can this fish tank hold in litres? 18 -May-21 3 tank can So the fish 1 cm = 1 ml hold 150 ml litres of water. 1000 = 1 litre Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com N 5 Num Tuesday, May 18, 2021 Volume Now try N 5 Lifeskills Ex 1 Ch 8 (page 74) 12 Created by Mr. Lafferty @www. mathsrevision. com

Starter Questions www. mathsrevision. com N 5 Num Q 1. True or false Q 2. Does 2. 5 + 1. 25 x 20 = 27. 55 Explain your answer Q 3. Factorise Q 4. Calculate Tuesday, May 18, 2021 2(x – 6) - 2(x + 6) = 0 2 y 2 + 3 y +2 Created by Mr. Lafferty 13

www. mathsrevision. com N 5 Num Volume of Prisms Learning Intention 1. We are learning how to calculating volume of any prism given area. Success Criteria 1. Calculate the volume for various prisms. 2. Solution must include appropriate units and working.

Volume of Prisms www. mathsrevision. com N 5 Num Definition : A prism is a solid shape with uniform cross-section Hexagonal Prism Cylinder (circular Prism) Triangular Prism Pentagonal Prism Volume = Area of Cross section x length

Volume of Prisms www. mathsrevision. com N 5 Num Definition : A prism is a solid shape with uniform cross-section Hexagonal Prism Cylinder (circular Prism) Triangular Prism Pentagonal Prism Volume = Area of Cross section x length

Volume of Solids www. mathsrevision. com N 5 Num Definition : A prism is a solid shape with uniform cross-section Q. Find the volume the triangular prism. Triangular Prism Volume = Area x length = 20 x 10 = 200 cm 3 10 cm 2

Volume of Prisms www. mathsrevision. com N 5 Num Tuesday, May 18, 2021 Now try N 5 Lifeskills Ex 2 Ch 8 (page 75) 20 Created by Mr. Lafferty @www. mathsrevision. com

Starter Questions N 5 Num www. mathsrevision. com Q 1. Find the area of the parallelogram 7 Q 2. Factorise 4 x + 40 Q 3. A can of beans is reduce by 15% to 25 p. Find the price before the reduction. Q 4. The speed of light is 30000 metres per sec. True or false in scientific notation 3 x 108. Tuesday, May 18, 2021 7 Created by Mr. Lafferty 21

www. mathsrevision. com N 5 Num Volume of a Cylinder Learning Intention 1. We are learning how to derive the formula for the volume of a cylinder and apply it to solve problems. Success Criteria 1. To know formula. 2. Apply formula correctly. 3. Work backwards using formula.

Volume of a Cylinder www. mathsrevision. com N 5 Num The volume of a cylinder can be thought as being a pile of circles laid on top of each other. Volume = Area x height = πr 2 x h = πr 2 h h Cylinder (circular Prism)

Volume of a Cylinder N 5 Num www. mathsrevision. com Example : Find the volume of the cylinder below. 5 cm V = πr 2 h = π(5)2 x 10 = 250π cm 3 = 784. 5 cm 3 10 cm Cylinder (circular Prism)

Volume of a Cylinder www. mathsrevision. com N 5 Num Tuesday, May 18, 2021 Now try N 5 Lifeskills Ex 3 Ch 8 (page 77) 28 Created by Mr. Lafferty @www. mathsrevision. com

7 cm www. mathsrevision. com N 5 Num Starter Questions 18 -May-21 Exchange Rate £ 1 =$1. 50 Compiled by Mr. Lafferty Maths Dept.

N 5 Num Liquid Volume www. mathsrevision. com Learning Intention 18 -May-21 1. We are learning the term liquid volume using millilitres and litres. Success Criteria 1. Unerstand the term liquid volume. 2. Calculate volumes using 1 ml and litres. 3. Answer to contain appropriate units. Compiled by Mr. Lafferty Maths Dept.

Liquid Volume I’m a very small duck! N 5 Num How much water does this hold? 1 cm Volume = l x b x h = 1 cm³ A cube with volume 1 cm³ holds exact 1 millilitre of liquid. A volume of 1000 ml = 1 litre. 18 -May-21 Compiled by Mr. Lafferty Maths Dept.

Example 1 Liquid Volume Working N 5 Num Volume = l x b x h www. mathsrevision. com V = 6 x 3 x 12 12 cm 3 cm = 216 ml Orange Flavour 6 cm So the carton can hold 216 ml of orange juice. How much juice can this carton hold? 18 -May-21 V = 216 cm³ Remember: 1 cm³ = 1 ml Compiled by Mr. Lafferty Maths Dept.

Example 2 N 5 Num Liquid Volume Working Volume = l x b x h V = 100 x 30 x 50 V = 150 000 cm³ 30 50 cm cm = 150 000 ml = 150 litres 100 cm How much water can this fish tank hold in litres? 18 -May-21 3 can hold 150 litres of So the fish 1 cm tank = 1 ml water. 1000 ml = 1 litre Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com N 5 Num 18 -May-21 Liquid Volume Now try N 5 Lifeskills Ex 4 Ch 8 (page 80) Compiled by Mr. Lafferty Maths Dept.