When you apply the volume formula, what is the volume of a moving box in the shape of a rectangular prism with a length of 2 1/4 ft., a width of 1 1/2 ft., and a height of 3/4 ft.? The answer will be a mixed fraction in cubic feet.(1 point)...
The volume of a rectangular prism is calculated by multiplying the length, width, and height.
Volume = length x width x height
Volume = (2 1/4) x (1 1/2) x (3/4)
First, convert the mixed numbers to improper fractions:
Length = (9/4) ft.
Width = (3/2) ft.
Height = (3/4) ft.
Now, multiply the fractions:
Volume = (9/4) x (3/2) x (3/4)
Volume = (27/8) ft³
Since 27/8 can be simplified to 3 3/8, the volume of the moving box is 3 3/8 cubic feet.
wrong
I apologize for the mistake in my previous response. Let's correct it:
Volume = length x width x height
Volume = (2 1/4) ft x (1 1/2) ft x (3/4) ft
First, convert the mixed numbers to improper fractions:
Length = (9/4) ft
Width = (3/2) ft
Height = (3/4) ft
Now, multiply the fractions:
Volume = (9/4) x (3/2) x (3/4)
Volume = 81 / 32 ft³
Therefore, the volume of the moving box is 81/32 cubic feet.
do it as a mixed fraction
To convert the improper fraction 81/32 to a mixed fraction, you divide 81 by 32:
32 goes into 81 two times with a remainder of 17.
Therefore, the mixed fraction is 2 17/32 ft³.
So, the volume of the moving box is 2 17/32 cubic feet.