Question

(Help ASAP PLEAS) "You are shipping a puzzle cube to your friend using the cube-shaped box shown. What is the difference between the height of the puzzle cube and the top of the box when you place the cube in the box?"

Answer 1

0.3 cm

Explanation:

You want the difference in dimensions between a cube that has a volume of 216 cm³, and one that is 5.7 cm on a side.

Volume

The volume of the box is given by the formula ...

V = s³ . . . . . . where s is the side length

Using this, we can find the side length to be ...

x = ∛V = ∛(216 cm³) = 6 cm

Space

The difference in height of the two cubes is ...

6 cm - 5.7 cm = 0.3 cm

There will be about 0.3 cm between the puzzle cube and the top of the box.

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