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A rectangular block of candy 10 inches by 10 inches by 5 inches is coated on all faces with a very thin layer of chocolate. The block of candy is then cut into cubes measuring 1 inch by 1 inch by 1 inch. What percent of the cubes have no chocolate on them?

 May 22, 2020
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The rectangular block 10 inches by 10 inches by 5 inches is cut into cubes, 1 inch per side.

This block has  10 x 10 x 5  =  500  of these 1 inch cubes.

 

Every block on the outside inch has some chocolate. Only those completely in the inside

do not. The inside consists of a block  8 inches by 8 inches by 3 inches.

There will be  8 x 8 x 3  =  192  blocks that have no chocolate.

 

The percentage is:  192 / 500  =  0.384  or  38.4%.

 
 May 22, 2020

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