When you apply the volume formula what is the volume in a mixed fraction in cubic feet of a rectangular shipping container that measures 7 1/2 ft. long 2 1/2 ft. tall and 2 1/2 ft wide? The answer will be a mixed fraction in cubic feet.
To find the volume of the rectangular shipping container, we use the formula:
Volume = Length x Width x Height
Plugging in the values given:
Volume = 7 1/2 ft x 2 1/2 ft x 2 1/2 ft
Now, convert the mixed fractions to improper fractions:
7 1/2 = 15/2
2 1/2 = 5/2
Volume = (15/2) ft x (5/2) ft x (5/2) ft
Volume = (375/8) ft^3
Now, simplify the fraction:
Volume = 46 7/8 ft^3
Therefore, the volume of the rectangular shipping container in mixed fraction form is 46 7/8 cubic feet.
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.
To find the volume of the rectangular prism in cubic inches, we use the formula:
Volume = Length x Width x Height
Plugging in the values given:
Volume = 2 1/6 in. x 1 1/2 in. x 3 2/3 in.
Now, convert the mixed fractions to improper fractions:
2 1/6 = 13/6
1 1/2 = 3/2
3 2/3 = 11/3
Volume = (13/6) in x (3/2) in x (11/3) in
Volume = (429/12) in^3
Now, simplify the fraction:
Volume = 35 9/12 in^3
We can simplify this to a mixed number in simplest form:
35 9/12 in^3 = 35 3/4 in^3
Therefore, the volume of the rectangular prism in cubic inches is 35 3/4 in^3.
wrong
I apologize for the mistake in my previous calculation. Let's try again:
To find the volume of the rectangular prism in cubic inches, we use the formula:
Volume = Length x Width x Height
Plugging in the values given:
Volume = 2 1/6 in x 1 1/2 in x 3 2/3 in
Now convert the mixed fractions to improper fractions:
2 1/6 = 13/6
1 1/2 = 3/2
3 2/3 = 11/3
Volume = (13/6) in x (3/2) in x (11/3) in
Volume = (429/36) in^3
Now, simplify the fraction:
Volume = 11 27/36 in^3
We can simplify this to a mixed number in simplest form:
11 3/4 in^3
Therefore, the volume of the rectangular prism in cubic inches is 11 3/4 in^3.
what is the volume in cubic feet of a rectangular prism with a height of 2 1/2 ft. a length of 2 1/4 ft. and a width of 3 1/8 ft.? Your answer should be a mixed number in simplest form.
To find the volume of the rectangular prism in cubic feet, we use the formula:
Volume = Length x Width x Height
Plugging in the values given:
Volume = 2 1/4 ft x 3 1/8 ft x 2 1/2 ft
Now convert the mixed fractions to improper fractions:
2 1/4 = 9/4
3 1/8 = 25/8
2 1/2 = 5/2
Volume = (9/4) ft x (25/8) ft x (5/2) ft
Volume = (225/64) ft^3
Now, simplify the fraction:
Volume = 3 33/64 ft^3
Therefore, the volume of the rectangular prism in cubic feet is 3 33/64 ft^3.