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?
24/27 cubic inches
7 cubes
24 cubes
24 cubic inches
None of the above options are correct.
To find how many 1/3 inch cubes would fit inside the 1 1/3 inch length of the rectangular prism, we divide 1 1/3 by 1/3:
(4/3) ÷ (1/3) = 4
So, 4 cubes can fit along the length.
To find how many 1 inch cubes would fit inside the 1 inch width of the rectangular prism, we simply count that there is 1 cube along the width.
To find how many 1/3 inch cubes would fit inside the 2/3 inch height of the rectangular prism, we divide 2/3 by 1/3:
(2/3) ÷ (1/3) = 2
So, 2 cubes can fit along the height.
To find the total number of cubes that can fit inside the rectangular prism, we multiply these values:
4 x 1 x 2 = 8
Therefore, 8 1/3 inch cubes would fit inside the right rectangular prism.