To find the volume of a rectangular prism, you simply multiply the length, width, and height together.
Volume = length x width x height
Volume = (4 1/2 ft) x (2 1/2 ft) x (3 1/3 ft)
First, convert all the mixed numbers to improper fractions:
4 1/2 = 9/2
2 1/2 = 5/2
3 1/3 = 10/3
Now, multiply the fractions:
Volume = (9/2) x (5/2) x (10/3)
Volume = 225/12
Volume = 18.75 ft^3
The volume of the rectangular prism is 18.75 cubic feet.
What is the volume of a rectangular prism with a length of 4 1/2 ft., a height of 3 1/3 ft., and a width of 2 1/2 ft.?
11 answers
put the answer as a fraction or mixed number
The volume of the rectangular prism is 18 3/4 ft^3.
What is the volume of a rectangular prism with a length of 4 1/2 ft., a height of 3 1/3 ft., and a width of 2 1/2 ft.?
15 ft
8 1/3
37 1/2
10 1/3
15 ft
8 1/3
37 1/2
10 1/3
To find the volume of a rectangular prism, we multiply the length, width, and height together.
Given:
Length = 4 1/2 ft. = 9/2 ft.
Height = 3 1/3 ft. = 10/3 ft.
Width = 2 1/2 ft. = 5/2 ft.
Volume = length x width x height
Volume = (9/2 ft) x (5/2 ft) x (10/3 ft)
Volume = (9/2) * (5/2) * (10/3)
Volume = 225/12
Volume = 18.75 ft^3
Therefore, the volume of the rectangular prism is 18.75 cubic feet.
The closest answer choice is 15 ft, which is 15/1. So the answer would be 15 ft.
Given:
Length = 4 1/2 ft. = 9/2 ft.
Height = 3 1/3 ft. = 10/3 ft.
Width = 2 1/2 ft. = 5/2 ft.
Volume = length x width x height
Volume = (9/2 ft) x (5/2 ft) x (10/3 ft)
Volume = (9/2) * (5/2) * (10/3)
Volume = 225/12
Volume = 18.75 ft^3
Therefore, the volume of the rectangular prism is 18.75 cubic feet.
The closest answer choice is 15 ft, which is 15/1. So the answer would be 15 ft.
In cubic feet, what is the volume of a toy box measuring 2 3/4 feet long, 3 1/2 feet wide, and 3 1/2 feet tall?
33 ft
13 11/16
9 11/16
9 3/4
33 ft
13 11/16
9 11/16
9 3/4
To find the volume of the toy box, we need to multiply the length, width, and height together.
Given:
Length = 2 3/4 ft = 11/4 ft
Width = 3 1/2 ft = 7/2 ft
Height = 3 1/2 ft = 7/2 ft
Volume = length x width x height
Volume = (11/4 ft) x (7/2 ft) x (7/2 ft)
Volume = (11/4) * (7/2) * (7/2)
Volume = 693/32
Volume = 21.65625 ft^3
Converting the decimal to a fraction:
21.65625 = 21 + 8/32 = 21 + 1/4 = 21 1/4
Therefore, the volume of the toy box is 21 1/4 cubic feet, which in mixed number form is 21 ft 1/4. However, none of the given choices match this answer exactly. Closest would be 9 3/4 ft.
Given:
Length = 2 3/4 ft = 11/4 ft
Width = 3 1/2 ft = 7/2 ft
Height = 3 1/2 ft = 7/2 ft
Volume = length x width x height
Volume = (11/4 ft) x (7/2 ft) x (7/2 ft)
Volume = (11/4) * (7/2) * (7/2)
Volume = 693/32
Volume = 21.65625 ft^3
Converting the decimal to a fraction:
21.65625 = 21 + 8/32 = 21 + 1/4 = 21 1/4
Therefore, the volume of the toy box is 21 1/4 cubic feet, which in mixed number form is 21 ft 1/4. However, none of the given choices match this answer exactly. Closest would be 9 3/4 ft.
Its wrong.
Let's recheck the calculation for the volume of the toy box:
Given:
Length = 2 3/4 ft = 11/4 ft
Width = 3 1/2 ft = 7/2 ft
Height = 3 1/2 ft = 7/2 ft
Volume = length x width x height
Volume = (11/4 ft) x (7/2 ft) x (7/2 ft)
Volume = (11/4) * (7/2) * (7/2)
Volume = 423/16
Volume = 26 7/16
Therefore, the volume of the toy box is 26 7/16 ft^3. The answer in mixed number form is 26 ft 7/16 ft^3. None of the provided answer choices match this exactly, but the closest is 13 11/16 ft.
Given:
Length = 2 3/4 ft = 11/4 ft
Width = 3 1/2 ft = 7/2 ft
Height = 3 1/2 ft = 7/2 ft
Volume = length x width x height
Volume = (11/4 ft) x (7/2 ft) x (7/2 ft)
Volume = (11/4) * (7/2) * (7/2)
Volume = 423/16
Volume = 26 7/16
Therefore, the volume of the toy box is 26 7/16 ft^3. The answer in mixed number form is 26 ft 7/16 ft^3. None of the provided answer choices match this exactly, but the closest is 13 11/16 ft.
can you make the problem into one that gives me the answer 33 11/16?
Let's adjust the dimensions of the toy box:
Given:
Length = 2 3/4 ft = 11/4 ft
Width = 3 1/2 ft = 7/2 ft
Height = 3 1/2 ft = 7/2 ft
We need the volume to be 33 11/16 ft^3.
To achieve this volume, let's calculate using the volume formula:
Volume = (Length) x (Width) x (Height)
Volume = (11/4) ft x (7/2) ft x (7/2) ft
Volume = 539/16 ft^3
Converting the volume to a mixed number:
539/16 = 33 11/16 ft^3
Therefore, the dimensions of a toy box that will give you a volume of 33 11/16 cubic feet are:
Length = 11/4 ft = 2 3/4 ft
Width = 7/2 ft = 3 1/2 ft
Height = 7/2 ft = 3 1/2 ft
You can then check this by using the volume formula to verify that it indeed gives the volume of 33 11/16 cubic feet.
Given:
Length = 2 3/4 ft = 11/4 ft
Width = 3 1/2 ft = 7/2 ft
Height = 3 1/2 ft = 7/2 ft
We need the volume to be 33 11/16 ft^3.
To achieve this volume, let's calculate using the volume formula:
Volume = (Length) x (Width) x (Height)
Volume = (11/4) ft x (7/2) ft x (7/2) ft
Volume = 539/16 ft^3
Converting the volume to a mixed number:
539/16 = 33 11/16 ft^3
Therefore, the dimensions of a toy box that will give you a volume of 33 11/16 cubic feet are:
Length = 11/4 ft = 2 3/4 ft
Width = 7/2 ft = 3 1/2 ft
Height = 7/2 ft = 3 1/2 ft
You can then check this by using the volume formula to verify that it indeed gives the volume of 33 11/16 cubic feet.