Related GCSE Hidden Faces and Cubes essays

1. 

   Painted Cube Investigation

   6 x 2 = 12 The formula for 3 painted faces is n = 8 (unless it is a 1 x 1 x 1 cube). Only, a corner cube can have 3 of its faces painted. There are 4 corner cubes in half a cube.

2. 

   gcse maths shapes investigation

   the 'divide by' signs in the same place, even if they are only /1, as it may help me when trying to find a connection between the three. I have therefore rearranged the three formulas above to give: T=(P+2D-2)/1, Q=(P+2D-2)/2 and H=(P+2D-2)/4 Now that I have made the formulas look

1. 

   Maths Investigation -Painted Cubes

   It would be easier as I knew how to find them. The second part of the formula would be 2(a - 2)(c - 2) and lastly it would be 2(b - 2)(c - 2). Therefore, the total formula for one face would be: 2(a - 2)(b - 2)

2. 

   shapes investigation coursework

   In both squares and hexagons, the Q= or H= formula was the one with which I found a pattern first (and in the case of hexagons, the only one). In triangles I did not have an existing formula to work with, so this does not apply to them.

1. 

   painted sides of a cube

   8 blocks with 3 sides painted. I attempted to look for a pattern after constructing the first few cubes and looking at the trends in sides painted for each cube. For 0 sides painted, I found that if n = (the number blocks on one row or column of the cube), then (n-2)3 is the number of cubes with 0 sides painted.

2. 

   GCSE Maths Coursework - Shapes Investigation

   this formula once for triangles, squares and hexagons, just to make sure. So where P=14, D=2 and the shape is T (i.e. three-sided)... X=(14+4-2)/(3-2) � X=16/1 � X=16 C And where P=24, D=5 and the shape is S... X=(24+10-2)/(4-2) � X=32/2 � X=16 C And where P=34, D=4 and the shape is H...

1. 

   I am doing an investigation to look at shapes made up of other shapes ...

   am pretty sure that they will work on all other corresponding values of P, D and Q - there is no reason for them not to. The only possible situation where my formulas might fail me is where the value of D is 0, as when D is multiplied or

2. 

   Shapes Investigation I will try to find the relationship between the perimeter (in cm), ...

   All the different shapes in the T=20 table work with this formula. Therefore I will test the formula with all the other tables below, so I can be sure that it does work with all numbers of triangles. If it works with all four of the numbers of triangles that