Three boxes are stacked one on top of the other. One box is 5 feet 9 inches tall one is 5 feet 11 inches tall, and one is 2 feet 7 inches tall. How high is the stack?

Respuesta :

Answer:

Height of stack = 14 feet and 3 inches

Step-by-step explanation:

Height of boxes are given as following:

1) 5 feet 9 inches

2) 5 feet 12 inches

3) 2 feet 7 inches

The boxes are stacked together one on top of each other.

So height of stack = sum of heights of all the boxes

⇒ [tex](5+5+2)\ feet + (9+7+11)/ inches[/tex]

⇒ [tex]12\ feet + 27\ inches[/tex]

We know that [[tex]1\ feet =12\ inches[/tex]]

So, we to convert inches to feet we divide by 12 and write the remainder in inches.

⇒ [tex]12\ feet + \frac{27\ inches}{12}[/tex]

So, the quotient of [tex]\frac{27\ inches}{12}[/tex] would be =2 feet and remainder =3 inches

We have,

⇒ [tex]12\ feet + 2\ feet + 3\ inches[/tex]

⇒ [tex]14\ feet \ and\ 3\ inches[/tex]

So, height of stack = 14 feet and 3 inches