How many 1/2 -inch cubes would fit inside a right rectangular prism with a length of 2 inches, a width of 11/2 inches, and a height of 3 inches
To determine how many 1/2-inch cubes would fit inside the right rectangular prism, we first need to calculate the volume of the prism.
The volume of a right rectangular prism is calculated by multiplying the length, width, and height together. In this case, the dimensions are:
Length = 2 inches
Width = 1 1/2 inches = 3/2 inches
Height = 3 inches
So, the volume of the prism is:
Volume = length x width x height
Volume = 2 inches x 3/2 inches x 3 inches
Volume = 9 cubic inches
Next, we need to determine how many 1/2-inch cubes can fit into the prism. The volume of each 1/2-inch cube is:
Volume of 1 cube = (1/2 inch)^3 = 1/8 cubic inches
To find the number of cubes that could fit into the prism, we divide the volume of the prism by the volume of 1 cube:
Number of cubes = Volume of prism / Volume of 1 cube
Number of cubes = 9 cubic inches / 1/8 cubic inches
Number of cubes = 72 cubes
Therefore, 72 1/2-inch cubes could fit inside the right rectangular prism.