a carton has a length of 2 and 1/6 feet, width of 1 and 1/5, and hight of 2 and 1/2 feet. what is the volume of the carton
its the first one.
To find the volume of the carton, we need to multiply its length, width, and height together.
Given:
Length of the carton = 2 and 1/6 feet
Width of the carton = 1 and 1/5 feet
Height of the carton = 2 and 1/2 feet
First, let's convert the mixed numbers to improper fractions for easier calculations:
Length = 2 + 1/6 = 12/6 + 1/6 = 13/6 feet
Width = 1 + 1/5 = 5/5 + 1/5 = 6/5 feet
Height = 2 + 1/2 = 4/2 + 1/2 = 5/2 feet
Now, multiply the three values together to find the volume:
Volume = Length * Width * Height
= (13/6) * (6/5) * (5/2)
= (13 * 6 * 5) / (6 * 5 * 2)
= 390 / 60
= 6.5 cubic feet
Therefore, the volume of the carton is 6.5 cubic feet.
as always, volume = length * width * height
so just plug in your numbers.
It may help to convert all those mixed numbers to improper fractions first. That makes the multiplication a lot easier.
For example, 2 1/6 = 13/6
and so forth.
2 1/6 = 2.0.16667
1 1/5 = 1.2
2 1/2 = 2.5
2.16667 * 1.2 * 2.5 = _________ cubic feet