Question

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.

Answer 1

9514 1404 393

Answer:

96

Explanation:

In terms of blocks, the box dimensions are ...

(14 in)/(3.5 in/block) = 4 blocks

(21 in)/(3.5 in/block) = 6 blocks

Then the volume in terms of blocks is ...

V = LWH

V = (4)(4)(6) = 96 . . . . blocks

There are 96 blocks in the set.