Transcript Nets of Three-Dimensional Figures

Nets of Three-Dimensional
Figures
Students will be able to solve realworld and mathematical problems
involving the surface area of 3D shapes
composed of triangles and polygons.
Pg 454
Nets
The 2-dimensional pattern of 3dimensional figures
We are going to deconstruct a 3-D
figure to make our nets.
1. Measure the length width and height of the
box.
2. Pick 3 colors. Label the top and bottom in
one color. Use an new color to label the left
and right sides then use your third color to
label the front and back of your box.
• 3. Carefully cut along the three edges of the
top face and then cut down the vertical edge.
Analyze your Results
1. Name the Shapes that make up the
net.
2. What do you notice about the top
and bottom faces, and the front
back faces?
3. Explain how you can find the total
surface area.
1.Measure the height of your cylinder.
2.Carefully peel off the label and
measure and record its length.
3.Draw the a rectangle
with those dimensions on your paper.
4.Trace the can for your top and bottom
an d label them.
Find the surface area of the cylinder.
1. Name the shapes included in the net.
2. Find the diameter of the top of the
container and use it to find the
circumference of the face.
3. How is the circumference of the top
related to the rectangle?
4. How can the area of the rectangle be
found with the circumference of the
top of the container?
Practice
1. Cake decorators use sheets of icing called
fondant. Desa is decorating a rectangular
cake that is 24 inches by 18 by 4. Ho much
fondant will she need to cover the exposed
part of the cake?
2. James is forging a cylindrical fire pit from
iron. He want the pit to be 3 feet high and 2
feet diameter. It will be open at the top and
bottom. How much iron will he need?
Exit ticket.
1. Write the formula for the surface area of the
net of your of (rectangular prism.). Justify
your answer.
2. Write the formula for finding the area of all
the surfaces of the cylinder given the
measures of its height and diameter of it’s
bases.