### Home > MC1 > Chapter 1 > Lesson 1.1.5 > Problem1-46

1-46.

A stack of six bricks is two feet high. Use that information to answer the questions below.

1. How many bricks are in a stack $20$ feet high?

Use the diagram to the right for help. How many $2$-foot sections fit into a stack $20$ feet high?

Looking at the diagram, count the number of $2$-foot stacks.

There are $10$ $2$-foot stacks.

($10$ two-foot stacks)($6$ bricks per two-foot stack) = $60$ bricks

1. How high is a stack of $20$ bricks?

In part (a), you found that $60$ bricks make a stack $20$ feet high.
Since $60$ = $(3)(20)$, a stack of $20$ bricks should be one-third the height of a stack of $60$ bricks.

The stack of $20$ bricks is $6$ feet, $8$ inches, or $80$ inches.
This is also between $6$ and $7$ feet.