Final answer:
To determine how many containers will fit in the supply box, calculate the volume of the box and the volume of one container. Then divide the volume of the box by the volume of one container. In this case, 32 containers would fit in the supply box.
Step-by-step explanation:
To find out how many containers will fit in the supply box, we need to calculate the volume of the supply box and the volume of one container. The volume of the supply box is found by multiplying its height, width, and depth: 2 ft x 1 ft x 2 ft = 4 ft³. Each container is a cube with sides of 6 inches, so the volume of one container is 6 in x 6 in x 6 in = 216 in³. To compare the volumes, we need to convert the units: 4 ft³ = 4 ft x 12 in/ft x 12 in/ft x 12 in/ft = 6912 in³. Now we can divide the volume of the supply box by the volume of one container: 6912 in³ ÷ 216 in³ = 32. So, 32 containers would fit in the supply box.