Arushi has gift box that is the shape of a cube to wrap presents. If each side length is 8.5 in, how much space is in the box? Round your answer to the nearest hundredth.
To find the volume of the cube, we need to calculate the area of one of the faces and then multiply it by 6 (since a cube has 6 faces).
The formula for the area of one face of a cube is side length squared:
Area of one face = 8.5 in x 8.5 in = 72.25 in^2
Now, multiply the area of one face by 6 to get the total volume of the cube:
Total volume = 72.25 in^2 x 6 = 433.5 in^3
Therefore, the total space in the cube is 433.5 cubic inches.