Question

Jason wanted to put four orange balustrades in a box. The box has a capacity of 4 layers, and each layer contains 12 oranges, with 3 oranges corresponding to the width of the box and 4 oranges corresponding to the length of the box. The weight of each orange is between 226 grams and 225 grams. The weight of the orange (w) is related to the maximum length of its diameter (d) according to the w = (d^3)/2.3 formula:

a) Find the diameter of the largest circular section of the orange.
b) Find the dimensions for a suitable box.

Answer 1

a) The diameter of the largest circular section of the orange can be found using the formula d = (2.3 * w)^(1/3), where w is the weight of the orange. b) The dimensions for a suitable box would be 3 oranges for the width and 4 oranges for the length.

Step-by-step explanation:

a) To find the diameter of the largest circular section of the orange, we can use the formula w = (d^3)/2.3, where w is the weight of the orange and d is the diameter. Rearranging the formula, we have d = (2.3 * w)^(1/3). Since the weight of each orange is between 226 grams and 225 grams, we can substitute these values into the formula to find the range of diameters.

b) To find the dimensions for a suitable box, we need to consider the capacity of the box and the dimensions of the oranges. The box has a capacity of 4 layers, with each layer containing 12 oranges. Each layer has a width of 3 oranges and a length of 4 oranges. Therefore, the dimensions for a suitable box would be 3 oranges for the width and 4 oranges for the length.