A pizza company is building a rectangular solid box to be able to deliver personal pan pizzas. The pizza company wants the volume of the delivery box to be 756 cubic inches. The length of the delivery box is 6 inches less than twice the width, and the height is 2 inches less than the width. Determine the width of the delivery box. 7 inches 9 inches 11 inches 12 inches

Respuesta :

The width of the delivery box is 9 inches.

Since a pizza company is building a rectangular solid box to be able to deliver personal pan pizzas, and the pizza company wants the volume of the delivery box to be 756 cubic inches, and the length of the delivery box is 6 inches less than twice the width, and the height is 2 inches less than the width, to determine the width of the delivery box the following calculation must be performed:

  • LENGHT = 2W - 6
  • HEIGHT = W - 2
  • WIDTH = W
  • 7 x (7 - 2) x (2x7 - 6) = 7 x 5 x 8 = 280
  • 9 x (9 - 2) x (2x9 - 6) = 9 x 7 x 12 = 756

Therefore, the width of the delivery box is 9 inches.

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