Final answer:
The number of rectangular slices that can be cast lengthwise from the block is 12.
Step-by-step explanation:
To find the number of rectangular slices that can be cast from the block, we need to divide the height of the block by the thickness of each slice. In this case, the height of the block is 10 cm and the thickness of each slice is 0.8 cm (since 8 mm is equal to 0.8 cm).
Therefore, the number of slices that can be cast lengthwise from the block is:
(10 cm / 0.8 cm) = 12.5
Since we cannot have half a slice, the maximum number of slices that can be cast lengthwise from the block is 12.
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