In this lesson you will:
investigate nets of a variety of solids
practice drawing nets
calculate the surface area of solids.
Definition: A net is a pattern of shapes that can be folded to form a three-dimensional object.
In Lesson 1 you collected some three dimensional objects with simple shapes.
For this activity you need at least one three dimensional object that is made of cardboard and that you can cut up. Check it's ok before you cut!
Objects B or C would work for this activity if they are empty.
Cut the box to form a net.
Cut the box and along one of its edges, and lay it out flat on the floor.
Use a ruler to draw along the lines and find the shapes that make up the surface of the box, as shown below.
Cut off any tabs that can't be seen from the outside of the box.
Consider how the net would have been different if you had cut along a different edge.
Could it look different?
Draw a diagram of how it could have been different.
Click on the image of the Geogebra activity to open the interactive in a new tab.
Explore the nets of a cube by using the sliders to change the dimensions (height, length, width, radius etc) of each type of solid and then move the view from open to closed to see how the shape of the net changes as the dimensions of the shape changes.
Scroll down the embedded page to see the nets of a cylinder, cone, and square pyramid.
Go back and look again at your collection of three dimensional objects from Lesson 1.
You will need:
a few of the objects you used for Lesson 1, try to pick different shapes
ruler and or a measuring tape.
Complete the following in your exercise book or folder.
Draw the nets of three of the objects.
Measure the dimensions of the containers you have drawn, and mark the measurements on the nets.
Examples of objects you might have collected for Lesson 1
Watch the two videos below.
In your exercise book or folder, use the measurements you recorded in Activity 2 to calculate the surface area of the solids that you drew the nets of.
Surface Area of a Prism (1 of 2: Introduction)
Duration: 5:52
Surface Area of a Prism (2 of 2: Example question)
Duration: 7:35
Note: Carefully read the instructions on the left hand side of the page. When the instructions tells you to turn a folder on you need to click on the circle next to the folder name.
In your exercise book or folder record your calculations of the areas of each shape to see if your order is correct.
Where to click to turn on a folder in Desmos
Explore the Geometric Solids activity on the National Council of Teachers of Mathematics website.
Can you draw the nets of the solids without checking the solution?
What do you notice about the different solids?
What is the same, and what is different about each of them?
Click on the button to open the Similar solids - surface activity sheet and then use the template button to create a copy of the document.
Complete the activity by writing out all your working in your exercise book or folder.
Don't forget to hand in the work you completed today!
Your teacher will have told you to do one of the following:
Upload any digital documents you created and any photos you took of your written work to your Learning Management system (MS Teams, Google Classroom for example).
Email any digital documents you created and any photos you took of your written work to your teacher.
Make sure you keep any hand written work you did in your exercise book or folder as your teacher may need to see these when you are back in class.
Show how you feel about today's learning.