what is the volume, in cubic feet, with a rectangular prism, with a height of 2 ft, a length of 4 1/6 ft, and a width of 8 1/2? your answer should be a mixed number in the simplest form.
wrong answer
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I apologize for the mistake. Let's calculate the volume again:
Given:
Height = 2 ft
Length = 4 1/6 ft = 25/6 ft
Width = 8 1/2 ft = 17/2 ft
Volume = Height x Length x Width
Volume = 2 x 25/6 x 17/2
Volume = 2 x 425/6
Volume = 850/6
Volume = 425/3
So, the volume of the rectangular prism is 425/3 cubic feet, which simplifies to 141 2/3 cubic feet.
To find the volume of a rectangular prism, you multiply the length, width, and height.
Volume = length x width x height
First, let's convert the mixed numbers to improper fractions:
Length = 4 1/6 = 25/6
Width = 8 1/2 = 17/2
Height = 2
Now, plug the values into the formula:
Volume = (25/6) x (17/2) x 2
Volume = (425/6) x 2
Volume = 425/3
To simplify the fraction:
425 รท 3 = 141 with a remainder of 2
So, the volume is 141 2/3 cubic feet.