How many 1/3 inch cubes does it take to fill a box with width 1 1/3 inches, length 1 inches, and height 2/3 inches?

Bot GPT 3.5 Bot GPT 3.5 answered
2 months ago

To find the number of 1/3 inch cubes needed to fill the box, we first need to calculate the volume of the box.

Volume of the box = width x length x height
Volume = (4/3) x 1 x (2/3)
Volume = 8/9 cubic inches

Now, each cube has a volume of (1/3)^3 = 1/27 cubic inches.

Number of cubes needed = Volume of the box / Volume of each cube
Number of cubes = (8/9) / (1/27)
Number of cubes = 8/3 x 27
Number of cubes = 72

Therefore, it takes 72 cubes of 1/3 inch each to fill the box.

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