The image shows a net of a cube with numbers on each face. The task is likely to determine the arrangement of the numbers when the net is folded into a cube. Let's solve this step by step.
Step 1: Understand the Net
The net is a 2D representation of a 3D cube. When folded, the faces will form a cube where each face is adjacent to four other faces. The goal is to identify which faces will be opposite each other and which will be adjacent.
Step 2: Identify Adjacent Faces
From the net, we can see which faces are adjacent to each other:
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Face 1 is adjacent to
Faces 2, 3, and 4.
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Face 2 is adjacent to
Faces 1, 3, and 5.
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Face 3 is adjacent to
Faces 1, 2, 4, and 6.
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Face 4 is adjacent to
Faces 1, 3, and 6.
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Face 5 is adjacent to
Faces 2, 3, and 6.
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Face 6 is adjacent to
Faces 3, 4, and 5.
Step 3: Determine Opposite Faces
In a cube, opposite faces are not adjacent to each other. Using the adjacency information:
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Face 1 is adjacent to
Faces 2, 3, and 4, so its opposite face must be
Face 6.
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Face 2 is adjacent to
Faces 1, 3, and 5, so its opposite face must be
Face 4.
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Face 3 is adjacent to
Faces 1, 2, 4, and 6, so its opposite face must be
Face 5.
Thus, the pairs of opposite faces are:
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1 and 6
-
2 and 4
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3 and 5
Step 4: Verify the Arrangement
When the net is folded into a cube:
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Face 1 will be on top.
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Face 6 will be on the bottom (opposite to Face 1).
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Face 2 will be on the left side.
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Face 4 will be on the right side (opposite to Face 2).
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Face 3 will be in front.
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Face 5 will be at the back (opposite to Face 3).
Final Answer
The pairs of opposite faces are:
\[
\boxed{1 \text{ and } 6, 2 \text{ and } 4, 3 \text{ and } 5}
\]
Parent Tip: Review the logic above to help your child master the concept of printable blank paper dice.
