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IM 6.1.15 Lesson: More Nets, More Surface Area

Kiran is wrapping this box of sports cards as a present for a friend.

What do you notice? What do you wonder?

Your teacher will assign you one of the figures shown here. Write the letter of the figure you were assigned

Study your polyhedron. Then, draw its net on the graph paper below. Use the side length of a square as 1 unit. Label each polygon on this net with a name or number.

Find the surface area of the polyhedron assigned to you and whose net you drew above. Show your thinking in an organized manner so it can be followed by others. You can also illustrate your thinking in the app above.

Here are the nets of three cardboard boxes - all rectangular prisms. The boxes will be packed with 1-centimeter cubes. All lengths are in centimeters. Compare the surface areas of the boxes. Which box will use the least cardboard? Show your reasoning.

Now compare the volumes of these boxes in cubic centimeters. Which box will hold the most 1-centimeter cubes? Show your reasoning.

In the app above, the lower most picture above shows a net of a cube. Use the RIGID POLYGON Toolbar Image tool in the app below to draw a different net of a cube. Draw another one.  And then another one. How many different nets can be drawn and assembled into a cube?

Draw your cube nets here: