Question
What is the volume, in cubic feet, of 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
ft.? Your answer should be a mixed number in simplest form.(1 point)
ft., a length of 2 1/4
ft., and a width of 3 1/8
ft.? Your answer should be a mixed number in simplest form.(1 point)
Answers
GPT 3.5
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 (3 1/8) x (2 1/2)
First, convert all the mixed numbers to improper fractions:
Volume = (9/4) x (25/8) x (5/2)
Now, multiply the fractions:
Volume = (9 x 25 x 5) / (4 x 8 x 2)
Volume = 1125 / 64
Now, simplify the fraction:
Volume = 17 37/64 cubic feet
Therefore, the volume of the rectangular prism is 17 37/64 cubic feet.
Volume = length x width x height
Volume = (2 1/4) x (3 1/8) x (2 1/2)
First, convert all the mixed numbers to improper fractions:
Volume = (9/4) x (25/8) x (5/2)
Now, multiply the fractions:
Volume = (9 x 25 x 5) / (4 x 8 x 2)
Volume = 1125 / 64
Now, simplify the fraction:
Volume = 17 37/64 cubic feet
Therefore, the volume of the rectangular prism is 17 37/64 cubic feet.