The maximal cross sectional area that can be obtained by cutting a unit cube with a plane passing through its center is , corresponding to a rectangular section intersecting Extend the task further with this Extra Challenge which involves making three special pyramids from nets and putting them together to make a cube. The number of rectangles is equal to the number of sides of the polygon. One dimension of a rectangle is the length of the prism, the other is the side-length of the polygon cross-section.

When learning Geometry, we use nets of shapes to help us visualise the shapes we are trying to study.A triangle is drawn at each end of one of the rectangles, making sure that when folded the edge lengths match exactly. There are other regular polyhedra (tetrahedron, octahedron etc.). How many nets can you find for each of these? This resource is great for key stage 2 maths lessons on geometry, measurement and the nets of 3D shapes. TESSA Inclusive Education Toolkit: A guide to the education and training of teachers in Inclusive Education The net is made up of the base polygon and congruent isosceles triangles attached to each side of the base.

I,""Cube B--Bisecting II,""Cube C--Bisecting Horizontally,""Cube D--Bisecting on the Diagonal,""Cube E--Bisecting III,""Making a Cube from a Cube with a Single Cut," and "Module Cube." Origami The nets of a cube are made from 6 squares. Shapes made from 6 squares in this way are called hexominoes (as in dominoes which are made from two squares). Cube nets are only some of the hexominoes. How many hexominoes are there? How do you know when you have found them all? When the students have found and recorded all 11 (perhaps in a way which shows the 'longest line families'), there are still several possible investigations. Fold a 12"x18" piece of manila construction paper in half horizontally and then open it up and lay it flat again. Next have the students come up with why they think the cube shape is important. Have them come up with an item in real life that is shaped like a cube and list the attributes. Have students complete "An important thing" worksheet. After completing the sheet, students may make a booklet of their attributes.Ways to use the book: Most important thing about: 3rd grade, a new friend I met, fractions, geometric shapes, etc. (Great idea when using attributes.) The illustrations above show the cross sections obtained by cutting a unit cube centered at the origin with various planes. The following table summarizes A net of a cube is defined and students are asked to find the 11 different nets which can fold up to make a cube. A cube is a symmetrical three-dimensional shape which consists of six square faces, twelve edges, and eight vertices.