Answer:
Tim need 18 blocks of 2 cm tall to make the tower.
Step-by-step explanation:
Given,
Height of 1st block = 6 cm
Height of 2nd block = 2 cm
We have to find the number of second block.
For 1st tower;
number of blocks used to make the tower = 6
Height of the tower is equal to height of block 1st multiplied with number of blocks used to make the tower.
Height of tower 1st = [tex]6\times6=36\ cm[/tex]
For 2nd tower;
Let the number of blocks used to make the tower be 'n'.
Height of the tower is equal to height of block 1st multiplied with number of blocks used to make the tower.
Height of tower 1st = [tex]2n[/tex]
Now according to question,
He wants to build another tower that is the same height using blocks that are each 2 centimeters tall.
So we can say that;
Height of tower 1st is equal to height of tower 2nd.
So,
[tex]2n=36[/tex]
Now dividing both side by '2', we get;
[tex]\frac{2n}{2}=\frac{36}{2}\\\\n=18[/tex]
Hence Tim need 18 blocks of 2 cm tall to make the tower.