Here are shadows of some 3D shapes. What shapes could have made
We had lots of correct solutions to this problem and you used
many different ways of helping yourselves to reach the answers.
Some of you made the shapes from straws and modelling clay, like
Rachel, Abigail and Alistair from Histon and Impington Infant
School. They sent in a photo of their models:
Others of you decided to make the shapes from Polydron, while
some of you drew the shapes carefully. Alice from Tattingstone, and
Scarlett and Sam from Cupernham, were among those who opted for
drawing, but William, also from Cupernham sent in particularly
careful sketches using isometric paper:
Cuboid : 8
balls, 12 straws
Hexagonal prism : 12 balls, 18 straws
pyramid : 5 balls, 8 straws
: 4 balls, 6 straws
Triangular prism : 6 balls, 9 straws
Chris and Michael from Moorfield Junior School also sent some
excellent drawings and took the problem a step further by looking
at the relationship between the number of faces, edges and vertices
of different prisms. They enclosed this table:
Chris and Michael say:
There are patterns you can see in the vertices and edges
columns. The number of vertices is double the amount of sides on
the 2D shape at each end. In the edges column it's three times the
amount of sides on the 2D shape.
Perhaps you can spot some more patterns too. Let us know if
Thank you also to these people who sent us correct answers
Hugo, Emile and Benny from Wesley College Prahran Preparatory
School in Melbourne, Australia.
Charlotte and Thomas.
Al from Dudley.
Ryo, Jake and Charlie from Moorfield Junior School.
Samuel from Bispham Drive Junior School in Nottingham.
David from Tithe Barn Primary School.