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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