Mia put two girls in a shipping box then filled the box with Styrofoam peanuts t h e d i m e n s i o n s for the shipping box for 12 in by 5 in by 5 in one gift was puzzle cue with a side length of 4 in one gift was a car that was in a box with d i m e n s i o n s 6 in by 4 in by four whole and one half inches what was the volume of the Styrofoam peanuts in the shipping box a 172 in 3B 1 3 9.5 in 3 c 1 2 8 in 3D 228 in three
To calculate the volume of the Styrofoam peanuts in the shipping box, first calculate the volume of the shipping box itself:
Volume of the shipping box = length x width x height
Volume = 12 in x 5 in x 5 in
Volume = 300 in^3
Next, calculate the volume of the puzzle cube:
Volume of puzzle cube = side length^3
Volume = 4 in x 4 in x 4 in
Volume = 64 in^3
Next, calculate the volume of the car box:
Volume of car box = length x width x height
Volume = 6 in x 4 in x 4.5 in
Volume = 108 in^3
Now, subtract the volumes of the puzzle cube and car box from the total volume of the shipping box to find the volume of the Styrofoam peanuts:
Volume of Styrofoam peanuts = Volume of shipping box - Volume of puzzle cube - Volume of car box
Volume = 300 in^3 - 64 in^3 - 108 in^3
Volume = 128 in^3
Therefore, the volume of the Styrofoam peanuts in the shipping box is 128 in^3. The correct answer is C.