what is the volume, in cubic feet, with a rectangular prism, with a height of 2 1/2 ft, a length of 2 1/4 ft, and a width of 3 1/8? your answer should be a mixed number in the simplest form.
To find the volume of a rectangular prism, you multiply the length, width, and height.
Volume = length x width x height
Volume = 2 1/4 ft x 3 1/8 ft x 2 1/2 ft
First, convert all the fractions to improper fractions:
2 1/4 = 9/4
3 1/8 = 25/8
2 1/2 = 5/2
Now multiply the three dimensions together:
Volume = (9/4) x (25/8) x (5/2) = (9 x 25 x 5) / (4 x 8 x 2) = 1125 / 64
Now, simplify the fraction:
1125 รท 64 = 17 with a remainder of 37
Therefore, the volume is 17 37/64 cubic feet.