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Question

What will be the lateral surface area (inch 2) of the cube formed by folding up this cardboard cross ?



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Solution

The cardboard cross has 6 squares and the side of all the squares is 7.5".
When folded, it will form a cube with s=7.5", like this:



Thus, lateral surface area of the cube =4×s2
=4×7.5×7.5
=4×56.25
=225 inch2

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