Obviously you need to Divide

Geometry Level 3

A block of wood $2 \text{m}$ high $3 \text{m}$ long and $4 \text{m}$ wide is to be cut into spheres of radius $1 \text{m}$ each. How many such spheres can be cut out?

Image Credit: Flickr Blocks of Wood by Puzzleparadox

3 5 5.72 2 6

2 solutions

Ansh Bhatt
Mar 16, 2015

If we just calculate the volumes and divide them then the answer would be approximately 5.72. But we can not melt the block of wood, it has to be cut and after cutting two such spheres, wood will be left but it can not be given the desired shape. So the answer is two.

Toby M
Sep 8, 2020

Assuming that no gluing of the pieces is allowed, you need a block of wood measuring 2 m by 2 m by 2 m to make 1 sphere. It is possible to cut at most 2 of these blocks, which leaves a 1 by 2 by 2 block which you cannot cut any more spheres from.

Obviously you need to Divide

Image Credit: Flickr Blocks of Wood by Puzzleparadox

2 solutions

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