Use the image to answer the question.
An illustration shows a rectangular prism with length 1 and one-third inches, width 1 inch, and height two-thirds inch. The edges that are not visible are represented by dashed lines.
How many 13-inch cubes would fit inside the right rectangular prism?
7 cubes
24 cubes
24 cubic inches
24/27 cubic inches
The volume of the right rectangular prism can be found by multiplying length, width, and height:
1 and 1/3 inches x 1 inch x 2/3 inch = 4/9 cubic inches
To find out how many 13-inch cubes would fit inside, we need to divide the volume of the prism by the volume of one cube:
(4/9 cubic inches) / (13 inches x 13 inches x 13 inches) = 24 cubes
Therefore, 24 cubes would fit inside the right rectangular prism. Answer: 24 cubes.
correction: An illustration shows a rectangular prism with length 1 and one-third inches, width 1 inch, and height two-thirds inch. The edges that are not visible are represented by dashed lines.
How many 1/3-inch cubes would fit inside the right rectangular prism?
7 cubes
24 cubes
24 cubic inches
24/27 cubic inches
To find the answer, we need to calculate the volume of the rectangular prism:
Volume = length x width x height
Volume = (1 and 1/3) inches x 1 inch x (2/3) inch
Volume = (4/3) inches x (2/3) inch
Volume = 8/9 cubic inches
To find how many 1/3-inch cubes would fit inside the prism, we need to divide the volume of the prism by the volume of one cube:
8/9 cubic inches ÷ (1/3) cubic inches = 8/3
Therefore, 8/3 or 2 and 2/3 1/3-inch cubes would fit inside the right rectangular prism. Answer: None of the given options (2 and 2/3 1/3-inch cubes).
what?
I apologize for the mistake in my previous response. To determine how many 1/3-inch cubes would fit inside the rectangular prism, we need to find the volume of the prism and then divide it by the volume of one cube.
The volume of the rectangular prism is:
Volume = length x width x height
Volume = (1 and 1/3) inches x 1 inch x (2/3) inch
Volume = (4/3) inches x (2/3) inch
Volume = 8/9 cubic inches
The volume of 1 cube is:
Volume = (1/3) inch x (1/3) inch x (1/3) inch
Volume = 1/27 cubic inches
To find how many cubes can fit inside, we divide the volume of the prism by that of one cube:
(8/9 cubic inches) ÷ (1/27 cubic inches) = 24 cubes
Therefore, 24 1/3-inch cubes would fit inside the right rectangular prism. The correct answer is 24 cubes.
i hope that's right
Yes, I apologize for the confusion earlier. The correct answer to the question "How many 1/3-inch cubes would fit inside the right rectangular prism with length 1 and one-third inches, width 1 inch, and height two-thirds inch?" is 24 cubes.
ok
If you have any further questions or concerns, please feel free to ask. I'm here to help.
What is the volume of the right rectangular prism packed with 8 cubes? Each cube has an edge length of 1/5 centimeter.
8/5 cubic cm
1/125 cubic cm
8/125 cubic cm
8 cube
The volume of the right rectangular prism can be found by multiplying its length, width, and height. Since the prism is packed with 8 cubes, we can calculate its volume by multiplying the volume of one cube by 8.
The volume of one cube is:
Volume = (1/5) cm x (1/5) cm x (1/5) cm
Volume = 1/125 cubic cm
The total volume of the 8 cubes is:
Total volume = 8 x (1/125 cubic cm)
Total volume = 8/125 cubic cm
Therefore, the volume of the right rectangular prism packed with 8 cubes, each having an edge length of 1/5 centimeter, is 8/125 cubic cm. The correct answer is (C) 8/125 cubic cm.
that kinda makes since
I'm glad it makes sense. If you have any more questions or need any further clarification, just let me know!
Use the image to answer the question.
An illustration shows a rectangular prism. The top, front, and right faces are visible. The edges that are not visible are indicated by a dashed line. The base is labeled upper B equals 21 centimeters squared. The bottom right edge is labeled w equals 4 centimeters. A vertical edge is labeled h equals 3 centimeters.
Find the volume of the right rectangular prism.
(1 point)
Responses
252 cm3
84 cm3
63 cm2
63 cm3
To find the volume of the right rectangular prism, we need to multiply its length by its width by its height. However, we are only given the values of the area of the base, upper B, the value of w, and the value of h.
We can use the formula of the area of a rectangle to find the value of the length:
Area of a rectangle = length x width
Upper B = length x width
21 cm² = length x width
We are also given the value of w, which is the width of the base:
w = 4 cm
We can now solve for the value of the length:
21 cm² = length x 4 cm
length = 21 cm² ÷ 4 cm
length = 5.25 cm
We are also given the value of h, which is the height of the prism:
h = 3 cm
Now that we know the values of length, width, and height, we can find the volume of the prism:
Volume = length x width x height
Volume = 5.25 cm x 4 cm x 3 cm
Volume = 63 cm³
Therefore, the volume of the right rectangular prism is 63 cm³. The correct answer is (D) 63 cm³.
Use the image to answer the question.
An illustration shows a rectangular prism made of cubes placed as 3 columns, 2 cubes high and 2 cubes deep.
Find the volume of the right rectangular prism packed with 12 cubes. Each cube has an edge length of 12 inch.
(1 point)
5 cubic inches
1/8 cubic inches
3/2 cubic inches
12 cubic inches
The number of cubes packed in the right rectangular prism is given as 12, and each cube has an edge length of 12 inches. Since the prism is made up of 3 columns, 2 cubes high and 2 cubes deep, we know the dimensions of the prism are:
Length = 12 inches x 3 columns = 36 inches
Width = 12 inches x 2 cubes deep = 24 inches
Height = 12 inches x 2 cubes high = 24 inches
The volume of the prism is given by:
Volume = Length x Width x Height
Volume = 36 inches x 24 inches x 24 inches
Volume = 20,736 cubic inches
Since there are 12 cubes in the prism, we can also find the volume as:
Volume = 12 cubes x (12 inches x 12 inches x 12 inches)
Volume = 20,736 cubic inches
Therefore, the volume of the right rectangular prism packed with 12 cubes, each having an edge length of 12 inches is 20,736 cubic inches. The correct answer is None of the given options (20,736 cubic inches).
i don't think so...
I apologize for the mistake in my previous response. The correct answer to the question "Find the volume of the right rectangular prism packed with 12 cubes. Each cube has an edge length of 12 inch." is:
The number of cubes packed in the right rectangular prism is given as 12, and each cube has an edge length of 12 inches. Since the prism is made up of 3 columns, 2 cubes high, and 2 cubes deep, the dimensions of the prism are:
Length = 12 inches x 3 columns = 36 inches
Width = 12 inches x 2 cubes deep = 24 inches
Height = 12 inches x 2 cubes high = 24 inches
The volume of the prism is given by:
Volume = Length x Width x Height
Volume = 36 inches x 24 inches x 24 inches
Volume = 20,736 cubic inches
Therefore, the correct answer is None of the given options (20,736 cubic inches).
it has to be one of the answer choices
I apologize for the confusion, and I will recheck my calculations.
The number of cubes packed in the right rectangular prism is 12, and each cube has an edge length of 12 inches. Since the prism is made of 3 columns, 2 cubes high and 2 cubes deep, the dimensions of the prism are:
Length = 3 x 12 inches = 36 inches
Width = 2 x 12 inches = 24 inches
Height = 2 x 12 inches = 24 inches
Therefore, the volume of the prism is:
Volume = Length x Width x Height
Volume = (36 inches) x (24 inches) x (24 inches)
Volume = 20,736 cubic inches
Therefore, the correct answer is None of the given options (20,736 cubic inches).