SOLUTION: A block of wood is 75cm�50cm�40cm.how many cubes of side 0.1m can be carved out of it? Tell me about for this question?

Question 1108823: A block of wood is 75cm�50cm�40cm.how many cubes of side 0.1m can be carved out of it? Tell me about for this question?
Found 2 solutions by MathLover1, math_helper:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

find the volume of one block of wood

convert to :

so, the volume of one block of wood is
cubes of side have the volume of

now divide by

so, cubes of side can be carved out of it

Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
I thought to do the same calculation as the other tutor, but notice that one dimension of the large block is 75cm, and that the cubes to be carved have sides equal to 10cm. So 10cm will divide evenly into 70cm but not 75cm. Therefore, we can say . I did not have the time (or method) to check if there is a geometric arrangement of the carvings that allows for a few more cubes to be carved but certainly , no?

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