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GCSE: Shape, Space and Measures

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All about space

  1. 1 Perimeter is the distance around the shape. It can be thought of as the skirting board on the floor of a room.
  2. 2 Area is the measure of space inside the shape. It can be thought of as the carpet in a room.
  3. 3 Volume is how much space there is in a 3-D shape. This can be thought of as the amount of water that could fit into a box.
  4. 4 The volume of a prism like a cylinder, cuboids or Toblerone shape can be worked out by finding the area of the base and multiplying this by the length of the shape.
  5. 5 Shapes with the same perimeters can have different areas. The area is maximised when the all of sides are the same length, and the more sides the shape has, the larger the area will be.

Shape facts

  1. 1 The angles in a triangle will always add up to 180°.
  2. 2 When finding the amount of angles in a different shape, see how many triangles you can make, by drawing the lines from points, and making sure that the lines don’t intersect. You will be able to make 2 triangles in a square, so we can then say that the angles in a triangle add up to 360°.
  3. 3 Soh Cah Toa and Pythagoras only apply to right angle triangles.
  4. 4 The diameter of a circle is the straight line that goes between two points on a circle and the centre of the circle. The radius is half of the diameter.
  5. 5 π is called pi, pronounced pie. If you divide the perimeter (called the circumference) of a circle by its diameter, the answer will be π.

All about measure

  1. 1 Metric measurements are the newer type of measurement and include things like metre, litre and gram.
  2. 2 Imperial measurements are an older type of measurement but some are still used a lot. Some examples are, inches, feet, stones, ounces.
  3. 3 Metre, centimetre, and kilometre are a measure for length and normally denoted m,cm,km. Area is measured using squared units like m^2,cm^2,km^2 and volume needs cubed units like, m^3,cm^3,km^3
  4. 4 1 cm^3 of water is the same as 1 ml of water, and this will weigh 1 gram.
  5. 5 If your are told that a length to the nearest cm is 5cm, the actual length could be anything between 4.5cm and 5.5cm.

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