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