you are mailing a birthday present to a friend.you have abox that has a length of 2 1/2 feet,aheight of 2 feet,and a width of 1 1/2 feet.the present has a volume of 3 cubic fet.what is the volume of th empty space in the box?
4.5ft
Assuming that the present will actually fit within the box, then the empty space is the difference between the volumes:
2.5 * 2 * 1.5 - 3 = ?
im doing this for homework.
I got 4.25 feet cubed
I agree with Steve and Karla. Also, I did Steve's method and got Karla's answer (They are the same!) and I am doing this for homework and I was confused but this helped!
To find the volume of the empty space in the box, you need to subtract the volume of the present from the total volume of the box.
First, let's calculate the total volume of the box. The box has a length of 2 1/2 feet, a height of 2 feet, and a width of 1 1/2 feet. To find the volume, you multiply these three dimensions together:
Volume of the box = Length × Width × Height
= 2 1/2 ft × 1 1/2 ft × 2 ft
To make calculations easier, let's convert the mixed fractions to improper fractions:
2 1/2 ft = 5/2 ft
1 1/2 ft = 3/2 ft
Now we can calculate the volume of the box:
Volume of the box = (5/2 ft) × (3/2 ft) × (2 ft)
= (5/2) × (3/2) × 2 cubic feet
= 15/4 cubic feet
= 3 3/4 cubic feet
Now, since the volume of the present is given as 3 cubic feet, we can subtract it from the total volume of the box to find the volume of the empty space:
Volume of empty space = Total volume of the box - Volume of the present
= 3 3/4 cubic feet - 3 cubic feet
To subtract mixed fractions, let's convert them to improper fractions:
3 3/4 cubic feet = 15/4 cubic feet
Subtracting the fractions:
Volume of empty space = (15/4) cubic feet - 3 cubic feet
To subtract fractions with different denominators, we need to find a common denominator. In this case, the least common denominator (LCD) is 4.
So, we need to convert 3 cubic feet to have a denominator of 4:
3 cubic feet = (3 cubic feet * 4) / 4
= 12/4 cubic feet
= 3
Substituting in the values:
Volume of empty space = (15/4) cubic feet - 3
= (15/4) cubic feet - (12/4) cubic feet
= (15 - 12)/4 cubic feet
= 3/4 cubic feet
Therefore, the volume of the empty space in the box is 3/4 cubic feet.