Beezlebum's

Beezlebum's Toy Store can't keep its stackable block set in stock! The blocks completely fill a box shaped like a rectangular prism that is 14 inches long, 14 inches wide, and 21 inches tall. The cube-shaped blocks in the set are 3.5 inches along each edge.
How many blocks are in the set?

Correct answer:

n =  96

Step-by-step explanation:

$$\begin{gathered} a=14\text{in} \\ b=14\text{in} \\ c=21\text{in} \\ x=3.5\text{in} \\ {n}_1=\lfloor a/x\rfloor =\lfloor 14/3.5\rfloor =4 \\ {n}_2=\lfloor b/x\rfloor =\lfloor 14/3.5\rfloor =4 \\ {n}_3=\lfloor c/x\rfloor =\lfloor 21/3.5\rfloor =6 \\ n=n_1\cdot n_2\cdot n_3=4\cdot 4\cdot 6=96 \end{gathered}$$

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