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.
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To find the volume of a rectangular prism, you multiply the length, width, and height.
Volume = length x width x height
Volume = (2 1/6) x (1 1/2) x (3 2/3)
First, convert all the mixed numbers to improper fractions:
2 1/6 = 13/6
1 1/2 = 3/2
3 2/3 = 11/3
Now, multiply the fractions:
Volume = (13/6) x (3/2) x (11/3)
Volume = 13 x 3 x 11 / 6 x 2 x 3
Volume = 429 / 36
Now, simplify the fraction:
429 ÷ 36 = 11 with a remainder of 3
So, 429/36 = 11 3/36 = 11 1/12
Therefore, the volume of the rectangular prism is 11 1/12 cubic inches.
I apologize for the mistake. Let's correct it.
Volume = length x width x height
Volume = (2 1/6) x (1 1/2) x (3 2/3)
Convert the mixed numbers to improper fractions:
2 1/6 = 13/6
1 1/2 = 3/2
3 2/3 = 11/3
Now, multiply the fractions:
Volume = (13/6) x (3/2) x (11/3)
Volume = (13 x 3 x 11) / (6 x 2 x 3)
Volume = 429 / 36
Now, simplify the fraction:
429 ÷ 36 = 11 with a remainder of 3
Therefore, the volume of the rectangular prism is 11 3/12 or 11 1/4 cubic inches.