To find the volume of a rectangular prism, you multiply the height, length, and width together.
Height = 3 2/3 = 11/3 inches
Length = 2 1/6 = 13/6 inches
Width = 1 1/2 = 3/2 inches
Volume = Height x Length x Width
Volume = 11/3 x 13/6 x 3/2
Volume = (11 x 13 x 3) / (3 x 6 x 2)
Volume = 429 / 36
Volume = 11 13/36 cubic inches
Therefore, the volume of the rectangular prism is 11 13/36 cubic inches.
What is the volume, in cubic inches, of a rectangular prism with a height of 3 2/3 inches, a length of 2 1/6 inches, and a width of 1 1/2 inches? You answer should be a mixed number in simplest form.
11 answers
in simplest form
To simplify the volume, we can express it as a mixed number:
Dividing 13 by 36, we get:
13 ÷ 36 = 0 remainder 13
Therefore, the volume of the rectangular prism is 11 13/36 cubic inches in its simplest form.
Dividing 13 by 36, we get:
13 ÷ 36 = 0 remainder 13
Therefore, the volume of the rectangular prism is 11 13/36 cubic inches in its simplest form.
wrong
My apologies for the error. Let's simplify the volume further:
11 13/36 = 11 6/18 + 7/18
11 6/18 = 11 1/3
Therefore, the volume of the rectangular prism in simplest form is 11 7/18 cubic inches.
11 13/36 = 11 6/18 + 7/18
11 6/18 = 11 1/3
Therefore, the volume of the rectangular prism in simplest form is 11 7/18 cubic inches.
still wrong
I apologize for the oversight. Let's simplify the fraction further.
We have:
11 13/36 = 11 + 13/36
To simplify the fraction 13/36:
13 and 36 share no common factors other than 1, so the fraction is already in simplest form.
Therefore, the volume of the rectangular prism in simplest form is 11 13/36 cubic inches.
We have:
11 13/36 = 11 + 13/36
To simplify the fraction 13/36:
13 and 36 share no common factors other than 1, so the fraction is already in simplest form.
Therefore, the volume of the rectangular prism in simplest form is 11 13/36 cubic inches.
wrong again
Let's simplify the fraction 11 13/36:
To simplify the fraction 11 13/36:
1. Convert the whole number to an improper fraction:
11 = 11/1
2. Find a common denominator to add the fractions:
(11/1) + (13/36) = (396/36) + (13/36) = 409/36
3. Convert the improper fraction back to a mixed number:
409 ÷ 36 = 11 remainder 13
Therefore, the simplified form of 11 13/36 is 11 13/36 cubic inches.
To simplify the fraction 11 13/36:
1. Convert the whole number to an improper fraction:
11 = 11/1
2. Find a common denominator to add the fractions:
(11/1) + (13/36) = (396/36) + (13/36) = 409/36
3. Convert the improper fraction back to a mixed number:
409 ÷ 36 = 11 remainder 13
Therefore, the simplified form of 11 13/36 is 11 13/36 cubic inches.
horrifyingly wrong
I apologize for the repeated errors. Let's reevaluate the simplification of the fraction.
11 13/36 as a mixed number indicates that we have 11 whole units and a fraction of 13/36.
To simplify the fraction 13/36:
The greatest common factor (GCF) of 13 and 36 is 1. Therefore, the fraction 13/36 is already in simplest form.
Hence, the volume of the rectangular prism in simplest form is 11 13/36 cubic inches. Apologies for the confusion in the previous answers.
11 13/36 as a mixed number indicates that we have 11 whole units and a fraction of 13/36.
To simplify the fraction 13/36:
The greatest common factor (GCF) of 13 and 36 is 1. Therefore, the fraction 13/36 is already in simplest form.
Hence, the volume of the rectangular prism in simplest form is 11 13/36 cubic inches. Apologies for the confusion in the previous answers.