What is the volume, in cubic feet, of a rectangular prism with a length of 2 ft., a width of 4 1/6 ft., and a height of 8 1/2 ft.? Your answer should be a mixed number in simplest form. (1 point)
The volume of a rectangular prism is found by multiplying its length, width, and height.
Volume = length x width x height
First, convert the mixed numbers to improper fractions:
4 1/6 = 25/6
8 1/2 = 17/2
Now, multiply:
2 x 25/6 x 17/2 = 850/6 = 425/3
Therefore, the volume of the rectangular prism is 425/3 cubic feet, which is equivalent to 141 2/3 cubic feet in simplest form.
wronnng
My apologies for the mistake. Let's correct it:
First, let's convert the mixed numbers to improper fractions:
4 1/6 = 25/6
8 1/2 = 17/2
Now, we can calculate the volume using these fractions:
Volume = length x width x height
Volume = 2 ft x 25/6 ft x 17/2 ft
Volume = 850/6 ft^3
Volume = 425/3 ft^3
Volume = 141 2/3 ft^3
Therefore, the volume of the rectangular prism is 141 2/3 cubic feet in simplest form. Thank you for pointing out the error.