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What are the properties (faces, edges, corners, pieces, unbroken edges) of a box based on its net diagram?
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6 stepsHere are the answers to the questions about the box net:
How many faces does the box have?
A standard box (rectangular prism) has 6 faces. The net shows 6 main rectangular sections that will form the faces of the box.
How many edges do the box have?
A standard rectangular prism has 12 edges.
How many corners does the box have?
A standard rectangular prism has 8 corners (vertices).
Out of how many separate pieces of cardboard was the box made?
The diagram shows one continuous piece of cardboard that forms the entire net.
How many of the edges of the box are unbroken edges?
"Unbroken edges" refers to the edges of the assembled box that are formed by folding the cardboard along a line (fold lines) rather than by gluing tabs. Counting the fold lines on the net:
- There are 4 horizontal fold lines in the main body of the net.
- There are 4 vertical fold lines in the main body of the net.
- There are 2 fold lines connecting the top and bottom flaps to their respective side faces. Total fold lines = . These 10 fold lines become 10 edges of the box. The remaining 2 edges are formed by gluing the tabs.
How many tables in total were used to make the box?
Assuming "tables" is a typo for "tabs" (the small flaps used for gluing the box together):
- There are 4 tabs along the right side of the main strip of faces.
- There are 2 tabs on the top flap.
- There are 2 tabs on the bottom flap. Total tabs = .
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