Question 89

A rectangular wooden piece of dimensions $$8 cm \times 6 cm \times 5 cm$$ cut in to pieces of dimensions $$\frac{5}{4} cm \times \frac{3}{8} cm \times \frac{1}{4} cm$$.then the number of pieces are

Solution

Number of pieces
= Volume of original piece/Volume of each cut piece 
= $$\frac{\left(8\cdot6\cdot5\right)}{\frac{5}{4}\cdot\frac{3}{8}\cdot\frac{1}{4}}$$
= $$8\cdot2\cdot4\cdot8\cdot4$$
= $$2^{11}$$


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