To find the volume of the right rectangular prism packed with 10 cubes, we first need to find the volume of one cube and then multiply it by 10.
The volume of one cube with a side length of 1/3 meter can be calculated using the formula V = s^3, where s is the side length. In this case, s = 1/3 meter.
V = (1/3)^3
V = 1/27 cubic meters
Now, to find the total volume of the prism packed with 10 cubes, we multiply the volume of one cube by 10:
Total volume = 10 * (1/27)
Total volume = 10/27 cubic meters
Therefore, the volume of the right rectangular prism packed with 10 cubes, each with a side length of 1/3 meter, is 10/27 cubic meters.
whats the volume of the right rectangular prism packed with 10 cubes each cube has a length of 1/3 meter
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multiply the edge lengths of a right rectangular prism with length of 1/2 m width 1/4 m and height 5/4 m to show that the product is the same as the volue found by packing prism with 10 unit cubes an edge length of 1/4 m. what is the volume of the prism
To find the volume of the right rectangular prism with dimensions of length 1/2 m, width 1/4 m, and height 5/4 m, we multiply the edge lengths:
Volume = Length × Width × Height
Volume = (1/2) × (1/4) × (5/4)
Volume = 5/32 cubic meters
Now, let's find the volume of each unit cube with an edge length of 1/4 m:
Volume of one cube = (1/4)^3
Volume of one cube = 1/64 cubic meters
Since there are 10 unit cubes packed in the prism, the total volume of the prism packed with 10 unit cubes is:
Total volume = 10 * (1/64)
Total volume = 10/64 = 5/32 cubic meters
The product of the edge lengths of the right rectangular prism and the volume found by packing the prism with 10 unit cubes is the same, as shown above. Therefore, the volume of the prism is 5/32 cubic meters.
Volume = Length × Width × Height
Volume = (1/2) × (1/4) × (5/4)
Volume = 5/32 cubic meters
Now, let's find the volume of each unit cube with an edge length of 1/4 m:
Volume of one cube = (1/4)^3
Volume of one cube = 1/64 cubic meters
Since there are 10 unit cubes packed in the prism, the total volume of the prism packed with 10 unit cubes is:
Total volume = 10 * (1/64)
Total volume = 10/64 = 5/32 cubic meters
The product of the edge lengths of the right rectangular prism and the volume found by packing the prism with 10 unit cubes is the same, as shown above. Therefore, the volume of the prism is 5/32 cubic meters.
just give me the answer
The volume of the right rectangular prism with dimensions of length 1/2 m, width 1/4 m, and height 5/4 m is 5/32 cubic meters.
what is the volume of a rectangular prism with a length of 4 2/3 ft a height of 3 1/3 ft and a width of 2 1/2 ft
To find the volume of the rectangular prism with dimensions of length 4 2/3 ft, height 3 1/3 ft, and width 2 1/2 ft, we multiply the edge lengths:
Volume = Length × Width × Height
Volume = (14/3) ft × (7/2) ft × (10/3) ft
Volume = (14/3) × (7/2) × (10/3) ft^3
Volume = 980/18 ft^3
Volume = 490/9 ft^3
Volume ≈ 54.44 ft^3
Therefore, the volume of the prism is approximately 54.44 cubic feet.
Volume = Length × Width × Height
Volume = (14/3) ft × (7/2) ft × (10/3) ft
Volume = (14/3) × (7/2) × (10/3) ft^3
Volume = 980/18 ft^3
Volume = 490/9 ft^3
Volume ≈ 54.44 ft^3
Therefore, the volume of the prism is approximately 54.44 cubic feet.
in cubic feet what is the volume of a toy box measuring 3 3/4 feet long 2 1/2 wide and 2 1/2 feet tall use the volume formula to solve the answer will be a mixed fraction in cubic feet
To find the volume of the toy box, we use the formula:
Volume = Length × Width × Height
Given:
Length = 3 3/4 feet = 15/4 feet
Width = 2 1/2 feet = 5/2 feet
Height = 2 1/2 feet = 5/2 feet
Now substituting these values into the formula:
Volume = (15/4) feet × (5/2) feet × (5/2) feet
Volume = (15/4) × (5/2) × (5/2) = 112.5/8 cubic feet
Now, let's simplify this mixed fraction:
112.5/8 = 14 1/8 cubic feet
Therefore, the volume of the toy box is 14 1/8 cubic feet.
Volume = Length × Width × Height
Given:
Length = 3 3/4 feet = 15/4 feet
Width = 2 1/2 feet = 5/2 feet
Height = 2 1/2 feet = 5/2 feet
Now substituting these values into the formula:
Volume = (15/4) feet × (5/2) feet × (5/2) feet
Volume = (15/4) × (5/2) × (5/2) = 112.5/8 cubic feet
Now, let's simplify this mixed fraction:
112.5/8 = 14 1/8 cubic feet
Therefore, the volume of the toy box is 14 1/8 cubic feet.
using the formula v = b x h what is the volume of a rectangular prism with a length of 7 1/4 m a width of 10 1/2 m and a height of 12 2/5 m your answer should be a mixed number in simplest form
To find the volume of the rectangular prism using the formula V = b x h, where b represents the base area and h is the height, we first need to calculate the base area using the length and width given.
Given:
Length = 7 1/4 m = 29/4 m
Width = 10 1/2 m = 21/2 m
Height = 12 2/5 m = 62/5 m
Base Area = Length x Width
Base Area = (29/4) m x (21/2) m
Base Area = (29/4) x (21/2) = 609/8 square meters
Now, calculate the volume using the base area and height:
Volume = Base Area x Height
Volume = (609/8) m^2 x (62/5) m
Volume = (609/8) x (62/5) = 18918/40 cubic meters
Volume = 472.95/8 cubic meters
Converting the improper fraction to a mixed number in simplest form:
472.95/8 = 59 1/8 cubic meters
Therefore, the volume of the rectangular prism is 59 1/8 cubic meters.
Given:
Length = 7 1/4 m = 29/4 m
Width = 10 1/2 m = 21/2 m
Height = 12 2/5 m = 62/5 m
Base Area = Length x Width
Base Area = (29/4) m x (21/2) m
Base Area = (29/4) x (21/2) = 609/8 square meters
Now, calculate the volume using the base area and height:
Volume = Base Area x Height
Volume = (609/8) m^2 x (62/5) m
Volume = (609/8) x (62/5) = 18918/40 cubic meters
Volume = 472.95/8 cubic meters
Converting the improper fraction to a mixed number in simplest form:
472.95/8 = 59 1/8 cubic meters
Therefore, the volume of the rectangular prism is 59 1/8 cubic meters.
13 answers