www mathsrevision com Volume Surface Area of Solids

www. mathsrevision. com Volume & Surface Area of Solids Basic Volumes Volume of a Pyramid Volume of a Sphere Composite Volume Problems Exam Type Questions

www. mathsrevision. com Starter Questions Q 1. True or false Q 2. Write down the probability of picking out a number greater than 20 in the national lottery. Q 3. If a = -3 and b = -4 does a 2 – 3 b 2 = 57 Q 4. Calculate Thursday, October 29, 2020 Created by Mr. Lafferty 2

Example N 5 LS www. mathsrevision. com N 5 LS Find the volume of the composite shape. 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 29 -Oct-20 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

Volume of a Triangular Prism Working N 5 LS Triangle Area = = 2 x 4 = 8 cm Volume = Area x length 3 = 8 x 10 = 80 cm www. mathsrevision. com 4 cm 29 -Oct-20 2 10 cm 4 cm Created by Mr. Lafferty Maths Dept.

Example N 5 LS Find the volume of the triangular prism. Working Triangle Area = = 3 x 3 = 9 cm www. mathsrevision. com 3 cm 29 -Oct-20 30 cm 2 Volume = Area x length 3 = 9 x 30 = 270 cm 6 cm Total Area 2 = 6+6+30+40+50 = 132 cm Compiled by Mr. Lafferty Maths Dept.

Example N 5 LS Find the volume of this prism. Working Triangle Area = = 6 x 8 = 48 m www. mathsrevision. com 8 cm Rectangle = l x b 2 = 6 x 12 = 72 cm Total Area = 72 + 48 2 = 120 m 15 cm 6 cm 29 -Oct-20 2 12 cm Volume = Area x length 3 Total Area = 120 x 15 =1800 m 2 = 6+6+30+40+50 = 132 cm Compiled by Mr. Lafferty Maths Dept.

Volume of a Cylinder 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)

N 5 LS www. mathsrevision. com N 5 LS Example Find the length the cuboid 29 -Oct-20 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.

www. mathsrevision. com N 5 LS Volume Now Try TJ N 5 Lifeskills Revision Ex Ch 19 (page 173)

www. mathsrevision. com Starter Questions 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 Thursday, October 29, 2020 Created by Mr. Lafferty 12

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

Volume of a Pyramid www. mathsrevision. com N 5 LS cone The volume of any pyramid can be calculated using the formula A = Area of base h = height

Volume of Pyramid N 5 LS www. mathsrevision. com Q. Find the volume the pyramid. 12 m 100 m 2

Volume of a Cone www. mathsrevision. com N 5 LS h r Q. If the above cone has radius 15 cm and height of 10 cm. Calculate it’s volume.

www. mathsrevision. com N 5 LS Volume Now Try TJ N 5 Lifeskills Ex 19. 1 Ch 19 (page 174)

Starter Questions www. mathsrevision. com Q 1. Find the area of the triangle. Q 2. Factorise Q 3. Calculate Thursday, October 29, 2020 2 x 2 – 6 x Created by Mr. Lafferty 10 cm 6 cm 19

N 5 LS Volume of Solids www. mathsrevision. com N 5 LS Learning Intention 1. We are learning how to use the sphere formula and use it to solve real-life problems. Success Criteria 1. To know the volume formula for a sphere. 2. Work out volumes for spheres. 3. Answer to contain appropriate units and working.

Volume of a Sphere www. mathsrevision. com N 5 LS r D = diameter D Q. If the above sphere has radius 10 cm. Calculate it’s volume.

www. mathsrevision. com N 5 LS Volume Now Try TJ N 5 Lifeskills Ex 19. 2 Ch 19 (page 177)

Starter Questions www. mathsrevision. com In pairs, think of the type of volume questions • Easy • Medium • Hard Thursday, October 29, 2020 Created by Mr. Lafferty 24

N 5 LS Volume of Solids www. mathsrevision. com N 5 LS Learning Intention 1. We are learning how to calculate composite volume of complicated shapes. Success Criteria 1. To know the volume formula for various basic shapes. 2. Work out volumes for composite shapes. 3. Answer to contain appropriate units and working.

N 5 LS Volume of a sphere N 5 LS www. mathsrevision. com Q. Find the volume the composite shape. Volume = Cylinder + half a sphere Cylinder ½ sphere h = 6 m r 2 m

www. mathsrevision. com N 5 LS Volume Now Try TJ N 5 Lifeskills Ex 19. 3 Ch 19 (page 179)

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