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, r

Question

3 years ago

5

ounded to the nearest hundredth of cubic inch, of the space inside the box that is not taken up by the globe

1 answer:

Reptile [31] · Answer 1 · 2022-04-10T08:34:35+03:00

Answer:

823.68 is the amount of space not taken up by the globe.

Step-by-step explanation:

Formulas

d = 2*r

r = d/2 = 12/2 = 6

The volume of the shipping box is V = s^3

The volume of the globe is V = (4/3) * pi * r^3

Solution

V_cube = 12^3 = 1728

V_globe = (4/3) * 3.14 * 6^3

V_globe = 4.18 * 6^3

V_globe = 4.18 * 216

V_globe = 904.32

The unoccupied space = V_cube - V_globe

The unoccupied space = 1728 - 904.32 = 823.68