Ashley is stacking two boxes on a shelf the bottom box measures 6 in Long x 5 in wide x 5 inches high the top box is a cube with one Edge measuring 4 inches what is the volume of the stack explain how you found your answer

Volume_stack = 214 n^3

Step-by-step explanation:

The volume of the stack is the sum of the volume of the two boxes

The rectangular box has a volume of

V_rectbox = long*wide*height

V_rectbox = 6 in * 5in * 5 in = 150 in^3

The volume of the cube is

V_cube = long*wide*height, but since all its sides are equal

V_cube = side^3 = (4 in) ^3 = 64 in^3

Volume_stack = V_rectbox + V_cube = 150 in^3 + 64 in^3

Volume_stack = 214 n^3