Answer:
186.7 cubes
Explanation:
How many LaTeX: \frac{1}{3}1 3 inch cubes does it take to fill a box with width LaTeX: 2\frac{2}{3}2 2 3 inches, length LaTeX: 3\frac{1}{3}3 1 3 inches, and height LaTeX: 2\frac{1}{3}2 1 3 inches?
Step 1
We find the volume of the box
= Length × Width × Height
Length = 3 1/3 inches = 10/3 inches
Width = 2 2/3 inches = 8/3 inches
Height = 2 1/3 inches = 7/3 inches
The volume of the box =
10/3 inches × 8/3 inches × 7/3 inches
= 560/9 cubic Inches
= 62 2/9 cubic inches
Step 2
How many 1/3 inch cubes would fill the box.
This is calculated as:= 62 2/9 cubic inches/ 1/3 inches
= 560/9 ÷ 1/3
= 560/9 × 3/1
= 186.66666667 cubes
Approximately = 186.7 cubes