<p> Shape and space part 1 MSS1/L1.2</p><p>VOLUMES CUBES AND CUBOIDS 2</p><p>To find the volume of a cube/cuboid, multiply: length x width x height</p><p>Example:</p><p>What is the volume of a child’s shoe box 20cm long, 10cm wide and 8cm high? Volume = length x width x height = 20 x 10 x 8cm³ = 200 x 8cm³ = 1600cm ³</p><p>Note - the volume of an empty shape may be called the cubic capacity.</p><p>A) Try finding these volumes (the answers will be in cubic units eg cm³, m³ etc)</p><p>1)</p><p>3m</p><p>3m 5m</p><p>2)</p><p>3cm</p><p>2cm 9cm</p><p>1 Shape and space part 1 MSS1/L1.2</p><p>3)</p><p>5m</p><p>5m 5m</p><p>4) 5cm 6cm</p><p>18cm</p><p>5)</p><p>9cm 20cm</p><p>10cm</p><p>2 Shape and space part 1 MSS1/L1.2</p><p>6) A ring case measures 3cm by 3cm and is 2cm high. What is it’s volume in cm³?</p><p>7) A square shaped tube is 85cm high, and has a length and width of 5cm each way. What is it’s capacity?</p><p>8) A room in a club is 9m wide, 26m long and 4m high. What is it’s volume?</p><p>9) A car radio speaker is 18cm wide, 9cm deep and 10cm high. What volume is it?</p><p>10) A plant container is in the shape of a cube with a side length of 9cm. What capacity does it have?</p><p>11) Joanne thinks a cube with sides of 8cm holds more than a cuboid with sides of 6, 8 and 10cm. Is she right?</p><p>LONG MULTIPLICATION AND DECIMAL FRACTIONS</p><p>You may need to do long multiplication.</p><p>Example: What is the volume of a box with dimensions 35cm by 25cm by 8cm? Multiply length x width 35 x 25 175 700  don’t forget the 0 875</p><p>Now multiply by the height 875 x 8 7000</p><p>Answer = 7000cm ³</p><p>3 Shape and space part 1 MSS1/L1.2</p><p>You may have to multiply decimal fractions.</p><p>Example:</p><p>A room is 5.6m long, 4m wide and 3m high. What is it’s volume?</p><p> length x width 5.6 x height 22.4 x 4 x 3 22.4 67.2 2 1 The volume is 67.2m ³</p><p>B) Try these questions.</p><p>1) A baking tray measures 25cm x 30cm x 5cm. What is it’s volume in cm³? Another tray measures 25cm by 25cm by 6cm. Which tray holds more?</p><p>2) Find the volume of these jewellery cases, in cubic centimetres.</p><p>Length Width Height a) 4cm 2cm 3.5cm ◘ b) 6.2cm 3cm 5cm c) 5.5cm 8cm 14cm</p><p>3) What is the volume of a Weetabix packet which measures 25cm by 20cm by 5cm?</p><p>4) What is the volume of a matchbox which measures 11cm by 6.4cm by 3cm?</p><p>4 Shape and space part 1 MSS1/L1.2</p><p>5) Small boxes measuring 3cm by 2cm by 1cm are packed into a large box which measures 15cm by 12cm by 10cm. What is the volume of: a) the small boxes? b) the large box? c) How many small boxes will fit into the large box?</p><p>6) Ice cubes which measure 2cm by 2cm by 2cm are made with water from a container 16cm by 13cm by 8cm. How many can be made?</p><p>7) Crates which measure 1.5m by 2m by 2m are packed in a large container 9m by 4m by 3m. How many can be packed in?</p><p>You may need to do long multiplication with a decimal fraction.</p><p>Example:</p><p>A shoulder bag is 8.5cm by 21cm by 9cm. What is it’s cubic capacity?</p><p>85 8.5  1 decimal place 178.5 x 21 x 21 x 9 85 85 1606.5 1700 1700 7 7 4 1785 178.5  1 decimal place</p><p>Answer = 1606 5cm ³</p><p>5 Shape and space part 1 MSS1/L1.2</p><p>C) Try finding these volumes.</p><p>1) What is the volume of these music speakers?</p><p>Length Width Height a) 25cm 20cm 35cm b) 18.2 16cm 30cm c) 9cm 9.5 15cm</p><p>2) Nina is checking on the cubic capacity of different freezing compartments in fridges.</p><p>The first model has a compartment measuring 9.5cm by 30cm by 40cm.</p><p>The second compartment measures 21.5cm x 18cm x 30cm. </p><p>Which has the larger capacity?</p><p>Check your answers, then discuss with your tutor what you need to work on next.</p><p>6 Shape and space part 1 MSS1/L1.2</p><p>Answers</p><p>Volume Cubes And Cuboids 2</p><p>A) B)</p><p>1) 45m³ 1) 3750cm³ 3750cm³ 2) 54m³ same 3) 125m³ 2) a) 28cm³ 4) 540cm³ b) 93cm³ 5) 1800cm³ c) 616cm³</p><p>6) 18cm³ 3) 2500cm³</p><p>7) 2125cm³ 4) 211.2cm³</p><p>8) 936m³ 5) a) 6cm³ b) 1800cm³ 9) 1620cm³ c) 300 10) 729cm³ 6) 1664  8 = 208 ice cubes 11) 512cm³ 7) 108  6 = 18 crates 480cm³ She is right C)</p><p>1) a) 17500cm³ b) 8736cm³ c) 1282.5cm³</p><p>2) 11400cm³ 11610cm³ the second</p><p>7</p>