Question
What is the volume, in cubic inches, of a rectangular prism with a height of 3 2/3 in., a length of 2 1/6 in., and a width of 1 1/2 in.? Your answer should be a mixed number in simplest form.
Answers
GPT 3.5
To find the volume of a rectangular prism, you multiply the length, width, and height together.
Volume = length x width x height
First, we need to convert all the mixed numbers to improper fractions:
Height = 3 2/3 = 11/3
Length = 2 1/6 = 13/6
Width = 1 1/2 = 3/2
Next, we plug the values into the formula:
Volume = (13/6) x (3/2) x (11/3)
Volume = (13 x 3 x 11) / (6 x 2 x 3)
Volume = (429) / 36
Volume = 11 13/36
So, the volume of the rectangular prism is 11 13/36 cubic inches.
Volume = length x width x height
First, we need to convert all the mixed numbers to improper fractions:
Height = 3 2/3 = 11/3
Length = 2 1/6 = 13/6
Width = 1 1/2 = 3/2
Next, we plug the values into the formula:
Volume = (13/6) x (3/2) x (11/3)
Volume = (13 x 3 x 11) / (6 x 2 x 3)
Volume = (429) / 36
Volume = 11 13/36
So, the volume of the rectangular prism is 11 13/36 cubic inches.