Answer:
560
Step-by-step explanation:
First we need to find the volume of the cube;
Volume = Length * Width * height
Given;
Length = 3 1/3 in
Width = 2 2/3 in
Height = 2 1/3 in
Volume = 3 1/3 * 2 2/3 * 2 1/3
Volume = 10/3 * 8/3 * 7/3
Volume = 560/3 in^3
To know thw amount of 1/3 in^3 it takes to fill the box, we will take the ratio of the volume to the unit volume;
Ratio = 560/3÷1/3
Ratio = 560/3 * 3/1
Ratio = 560
Hence it will take 560 1/3 in^3 to fill a box with that volume
