The volume of the rectangular prism box is given by the formula:
Volume = Length x Width x Height
Volume = 14 inches x 14 inches x 21 inches
Volume = 4116 cubic inches
The volume of each cube-shaped block is given by the formula:
Volume = Edge length x Edge length x Edge length
Volume = 3.5 inches x 3.5 inches x 3.5 inches
Volume = 42.875 cubic inches
To find out how many blocks are in the set, we need to divide the total volume of the box by the volume of each block:
Number of blocks = Volume of box / Volume of each block
Number of blocks = 4116 cubic inches / 42.875 cubic inches
Number of blocks = 96
Therefore, there are 96 blocks in the set.
Beezlebum's Toy Store can't keep their 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?
Write your answer as a whole number or decimal. Do not round.
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