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1.1 Making Cubic Boxes Some boxes are shaped like cubes. A cube is a 3­dimensional shape with 6 identical square faces. What types of things might be packaged in cubic boxes? 1 The boxes you will work with in this problem are shaped like unit cubes. A unit cube is a cube with edges that are 1 unit long. For example: cubes that are 1­inch on each edge are called inch cubes. Cubes that are 1 centimeter n each edge are called centimeter cubes. In this problem, you will make nets that can be folded to form boxes. A net is a 2­dimensional pattern that can be folded to form a 3­ dimensional figure. 2 Vocab cube -a 3d object with six identical square faces face -the side ( or flat surface) of a 3d object unit cube -a cube with each edge length being one unit (cm, in, mi . . .) edge -the seam where two faces meet vertex -corner net (flat pattern) -a 2d shape that can be folded into a 3d object 3 1.1 Making a Cube How many different flat patterns can you make that will fold into a unit cube? Sketch as many patterns as you think might work onto your grid paper. Test each pattern by cutting it out and folding it into a unit cube. Find as many different, successful flat patterns as you can. Glue them below. Find the total area of each one and label it. 4 5 6 A. How many different nets can you make that will fold into a box shaped like a unit cube? B. What is the total area of each net, in square units? 7 8