Problem / game
First name
Emma
School
St Elizabeth Catholic Primary School
Country
Age
7
Patterns:
. The number of cubes in a solid is always cube x cube x cube (for instance 2x2x2=8, 6x6x6=216)
. The number of cubes in the frames are increasing by 12 (8, 20, 32, 44, 56, 68 and so on).
. To get the difference between the solids and the frames you need to use a formula:
(cube-2 x cube-2) x 6 + (cube-2 x cube-2 x cube-2)
For instance for a 6x6x6 cube, the frame is 6x6x6 minus (4x4)x6 + 4x4x4+160. So 216 solid-160=56 cubes in a frame