Which of the following geometric nets can be folded along their seams to form a regular closed cube without overlapping faces?
Options:
(A) A cross-shaped net with 4 squares in a central vertical column and 1 square on each side of the second square
(B) A T-shaped net with 4 squares in a vertical column and 2 squares on one side
(C) A stair-step net with 3 adjacent rows of 2 squares each forming a zigzag 6-square shape
(D) A row of 5 squares with 1 extra square attached
Answer Key:
A, C
Step-by-Step Solution & Explanation
There are exactly 11 distinct valid nets for a cube. The Latin cross net (1-4-1 layout) and the zigzag stair net (3-3 or 2-2-2) fold into a 3D cube. A strip of 5 squares or nets with overlapping flaps cannot form a 6-faced cube.