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.
To find the volume of a rectangular prism, you multiply the length, width, and height together.
Volume = length x width x height
Volume = (2 1/4) x (1 1/2) x (3/4)
First, convert all the mixed numbers to improper fractions:
2 1/4 = 9/4
1 1/2 = 3/2
Now, multiply the three fractions together:
Volume = (9/4) x (3/2) x (3/4)
Volume = (27/8) ft^3
The volume of the moving box is 27/8 cubic feet, which can also be simplified to 3 3/8 cubic feet.
try again
Apologies for the mistake in the previous calculation. Let's calculate the volume of the rectangular prism correctly this time.
The volume formula for a rectangular prism is:
Volume = length x width x height
Given:
Length = 2 1/4 ft = 9/4 ft
Width = 1 1/2 ft = 3/2 ft
Height = 3/4 ft
Now, substitute these values into the volume formula:
Volume = (9/4) x (3/2) x (3/4)
Volume = (27/8) ft^3
Therefore, the volume of the 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 is 27/8 cubic feet.