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
Answer the question in the simplest form of a fraction. (1 point)
wrong
(11/3) x (13/6) x (3/2)
= 143/12 ........ not 107/9
You are correct. My apologies for the mistake.
(11/3) x (13/6) x (3/2) = 143/12
So, the volume of the rectangular prism is 143/12 cubic inches.
To find the volume of a rectangular prism, we multiply the length, width, and height together.
First, let's convert all the mixed numbers to improper fractions:
- Height: 3 2/3 inches = 3 + 2/3 = ((3 * 3) + 2)/3 = 11/3 inches
- Length: 2 1/6 inches = 2 + 1/6 = ((2 * 6) + 1)/6 = 13/6 inches
- Width: 1 1/2 inches = 1 + 1/2 = ((1 * 2) + 1)/2 = 3/2 inches
Now, multiply the three fractions together to find the volume:
Volume = (11/3) * (13/6) * (3/2)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
Volume = (11 * 13 * 3)/(3 * 6 * 2)
Now, simplify the numerator and denominator:
Volume = (429/36)
The volume of the rectangular prism is 429/36 cubic inches.
The volume of the rectangular prism is:
(3 2/3) x (2 1/6) x (1 1/2)
= (11/3) x (13/6) x (3/2)
= 214/18
= 107/9 cubic inches
Answer: 107/9