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)...

Answer 1

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.

Answer 2

wrong

Answer 3

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.

Answer 4

do it as a mixed fraction

Answer 5

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.