Answer:
The correct answer is :7 and 1 over 9 cubic inches that is \(7\frac{1}{9} inches^3\).
Step-by-step explanation:
Length of the cube = a =\(\frac{1}{3} inch\)
Volume of the cube = V
V= \(a^3\) = \((\frac{1}{3} inch)^3=\frac{1}{27} inch^3\)
Right rectangular prism is packed with these cubes:
Number of cubes placed along the length = 6 cubes
Number of cubes placed along the width = 4 cubes
Number of cubes placed along the height = 8 cubes
Total number of cubes in the right rectangular prism = 6 × 4 × 8 = 192 cubes
Volume of the right rectangular prism :
Number of cubes × Volume of cube
\(= 192\times \frac{1}{27} inch^3=7\frac{1}{9} inches^3\)
