1. Module 4

1.19. Page 2

Mathematics 10-3 Module 4 Lesson 4

Module 4: Area

 

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In the following Try This activity you will examine nets for three-dimensional objects, such as the cube, rectangular prism, pyramid, and face.

 

net: a two-dimensional (2-D) pattern used to create, by folding and joining, a three–dimensional (3-D) object

 

cube: a rectangular prism for which all faces are identical squares

 

This illustration shows a cube.

 

rectangular prism: a 3-D object for which all the sides are rectangles

A cardboard box is an example of a rectangular prism.

 

This illustration shows a rectangular prism.

 

pyramid: a 3-D object having a polygonal base and triangular sides with a common vertex

The following is an example of a prism.

 

This illustration shows a pyramid, or a prism.

 

face: a 2-D side of a prism

 


 

The first net you will explore is a net for a cube or rectangular prism.

 

m10_3_trythis.jpg Try This

 

This collage shows a number of different kinds of boxes.

tackle box: © operative401/shutterstock, tool box: © Robert Spriggs/shutterstock, jewelry box: © Anton Derevschuk/shutterstock,
shoe box: © Andrei Nekrassov/shutterstock, cardboard box: © mates/shutterstock

 

Find a cardboard box—any rectangular prism or cube will do. For example, a cereal box, small raisin box, or shoe box.

 

Examine the 3-D object’s sides, and mark each side with an X. Pull the box apart. If possible, keep all the sides you marked with an X attached, and rip off any pieces you did not mark. Lay the pieces flat—what you now have is called a net.

 

Depending on how you unfold the cube or rectangular prism, the net could look like any of the following examples.

 

This illustration shows four nets for a cube.

 

There are 11 nets altogether that are possible. Sketch as many of the other nets as you can.

 

m10_3_m4_078.jpg