2 cards

Geometry Level pending

Jane buys a new deck of cards of dimensions 2 inches by 3 inches.

Then, for some unknown reason, she pulls two cards out and folds them into the shape of a cuboid (with each card forming 3 of its faces).

What is the volume of the cuboid (in cubic inches)?

If you think there are multiple answers, put -1 as the answer.

If you think it can't be done, put -2 as the answer.

Assumption: The cards aren't cut, and none of the area is wasted. i.e. The surface area of the cuboid is exactly 12 square inches or the areas of the cards added together.

Image credit: http://www.maxplayingcards.com

The answer is 2.

1 solution

Geoff Pilling
Mar 4, 2017

Each card is folded into three sections, $\frac{1}{2} \times 2, 2 \times 2, \text{and} \frac{1}{2} \times 2$ , and glued together, forming a cube that is $2 \times 2 \times \frac{1}{2}$ .

So the volume is $2 \times 2 \times \frac{1}{2} = \boxed2$

2 cards

The answer is 2.

1 solution

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