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A person is putting oranges into a box. The dimensions of the box
are 13 inches by 16 inches by 13 inches. Assuming oranges are
spherical with a 2.8-inch diameter, how many oranges should fit in
the box? (Hint: Packing spheres in a rectangular prism usually takes
up 190% of the volume of the spheres using random packaging.)
Answer:
oranges

Respuesta :

The number of oranges that will fit in the box is 235 oranges.

How to find the number of oranges that will fit in the box using volume?

The dimensions of the box are 13 inches by 16 inches by 13 inches.

Therefore,

volume of the box = lwh

where

  • l = length
  • w = width
  • h = height

Hence,

volume of the box = 13 × 16 × 13

volume of the box = 2704 inches³

volume of the spherical orange = 4 / 3 πr³

where

  • r = radius of the sphere = 2.8 / 2 = 1.4 inches

volume of the spherical orange = 4 / 3 × 3.14 × 1.4³

volume of the spherical orange = 34.46464 / 3

volume of the spherical orange = 11.4882133333 inches cube = 11.5 inches³

number of oranges in the box = 2704  / 11.5

number of oranges in the box = 235.130434783

number of oranges in the box = 235 oranges

Therefore, the number of oranges that will fit in the box is 235 oranges.

learn more on volume here: https://brainly.com/question/481704

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