What is the volume of the space inside the box?

A globe has a diameter of 12 inches. It fits inside a cube-shaped box that has a side length of 12 inches. ​What is the volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe? ​Round your answer to 2 digits.

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Volume of the box
V = length x width x height
= 12 x 12 x 12
= 1728 in³ 

Volume of the globe (sphere)
V = (4/3)πr³ 
= (4/3)(3.14)(6³)  {substituted 3.14 for π and 6 for r, the radius}
= (4/3)(3.14)(216)  {evaluated the exponent)
​≈ 904.32 in³  {multiplied}

Subtract the volume of the globe from the volume of the box:
1728 - 904.32
≈ 823.68 in³ 

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