Back to Represent three-dimensional figures using nets — Problem 2 · Task Set 47

6.G.A.4 Tutor Intake -- Nets and Surface Area

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your own, without a calculator unless a problem says otherwise. If you are
not sure, give your best try — every answer helps your tutor plan your
first few sessions.

Grade 6·7 problems·~8 min·Common Core Math - Grade 6·standard·6-g-a-4

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Concepts

A student unfolds a rectangular prism into a net arranged like a
"T" shape. A classmate unfolds the SAME rectangular prism into a
different net, arranged like a "+" (plus sign) shape. Both
arrangements have all 6 rectangular faces present, correctly
shaped, and fold cleanly with no gaps or overlaps. Are both
valid nets of the prism?

Yes — any unfolding with the right faces that folds cleanly is a valid net; a figure can have more than one valid net.

No — only one specific arrangement is 'the' net of a given figure.

No — since the arrangements look different, at least one must have the wrong face count.

Yes, but only because a rectangular prism is a special case; most figures have exactly one valid net.