Question

Andre stacks one block of each size. Will that stack be more than 1 foot tall? Explain or show your reasoning

Answer 1

If Andre stakcs one block of each size, the the total height will be

`(1)/(3)+(1)/(2)+(1)/(6)`

Making the sum we have:

`\begin{gathered} (1)/(3)+(1)/(2)+(1)/(6)=(2+3)/(6)+(1)/(6) \\ =(5)/(6)+(1)/(6) \\ =(6)/(6) \\ =1 \end{gathered}`

The total height will be 1 foot tall, therefore the stack won't be more than 1 foot tall.