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# GCSE: Shape, Space and Measures

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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.

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.

1. ## Alexander the Great's father was Philip. Philip's wife was Olympias. Their son Alexander was born in 356 B.C. Alexander had a younger sister, Cleopatra. When Alexander was sixteen his father

• Word count: 1910
• Submitted: 01/11/2006
2. ## A person is defined as being homeless when he/she lacks a fixed nightime

• Word count: 1891
• Submitted: 17/10/2006
3. ## The Open Box Problem

• Word count: 2162
• Submitted: 17/10/2006
4. ## Beyond Pythagoras

• Word count: 2399
• Submitted: 18/08/2006
5. ## Beyond Pythagoras P.1 Pythagoras Theorem is a2+b2= c2 'a' is being the shortest side, 'b' being the middle side and 'c' being

• Word count: 2424
• Submitted: 18/08/2006
6. ## A farmer has 1000 metres of fencing. She wants to use it to fence off a field. The fencing has to enclose the maximum area possible; my task is to find the shape and dimension that will give the largest area

• Word count: 1399
• Submitted: 18/08/2006
7. ## A length of guttering is made from a rectangular sheet of plastic, 20cm wide. What is the best position for the folds so that the guttering carries the maximum amount of water?

• Word count: 2919
• Submitted: 18/08/2006
8. ## The Koch Snowflake

• Word count: 1686
• Submitted: 18/08/2006
9. ## A farmer has exactly 1000m of fencing and wants to fence off a plot of level land. She is not concerned about the shape of the plot. She wishes to fence off the plot of land which contains the maximum area. I will be investigating the shape

• Word count: 2944
• Submitted: 18/08/2006
10. ## To investigate the ratio of Area:Perimeter for triangles (2) To investigate the suggestion made by students that a 40,60,80 triangle would maximise the above mentioned ratio.

• Word count: 1229
• Submitted: 17/08/2006