How many 3-inch cubes would fit inside the right rectangular prism
The image shows a length of 1 1/3 in, width of 1 in, and a height if 2/3 in.
A. 48
B. 24
C. 12
D. 7
To find out how many 3-inch cubes would fit inside the right rectangular prism, we need to calculate the volume of the prism and then divide by the volume of a single 3-inch cube.
The volume of the prism can be calculated using the formula: volume = length x width x height
Given:
Length = 1 1/3 inches = 4/3 inches
Width = 1 inch
Height = 2/3 inches
Volume = (4/3) x 1 x (2/3) = 8/9 cubic inches
Volume of a 3-inch cube = 3 x 3 x 3 = 27 cubic inches
Now, we divide the volume of the prism by the volume of a 3-inch cube to get the number of cubes that would fit inside the prism.
Number of 3-inch cubes = (8/9) / 27 = 8/9 * 1/27 = 8/243
So, the correct answer is not provided in the options.