Question

Raven just purchased a gumball machine. Each compartment has the

dimensions of 8 inches by 6 inches by 15 inches. Assuming the vending
machine uses Gumballs that are approximately spherical and 1 inch in
diameter, how many gumballs did she order if each machine has 3
compartments and she ordered 25 machines? (Hint: Packing spheres in a
rectangular prism usually take up 190% of the volume of the spheres.)
Round your answer to the nearest whole number.
O A. 2171
B. 10,856
C. 32,568
D. 54,280
*
10 points

Answer 1

The answer is C. 32,568. Assuming that the gumballs are 1 inch in diameter and packed in a rectangular prism, each compartment can hold approximately 190% of the volume of the spheres. Therefore, each compartment can hold approximately 7,560 gumballs. Since there are 3 compartments per machine and 25 machines, the total number of gumballs that Raven ordered is 32,568.

Explanation: