Question

Roger is building a storage shed with wood blocks that are in the shape of cubic prisms. Can he build a shed that is twice as high as it is wide?

(1 point)

Yes. For every block of width, he could build two blocks high.


Yes. He could use half as many blocks for the height as the width.


There is no way to determine if he can do this.


No, it is not possible to do this.

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Answer 1

Answer: Yes. For every block of width, he could build two blocks high.

Explanation: If each block is a cube, dimensions are integer multiples of the block edge. Choose width = 1 block and height = 2 blocks (or any W blocks wide and 2W blocks high), giving height = 2 × width.