Respuesta :
The width of the delivery box is 9 inches.
Given that volume of delivery box is 756 cubic inches,length is 6 inches less than twice the width, height is 2 inches less than width.
let width be x
Length = 2x- 6
Height = x - 2
Width = x
We can find the value of x by putting values one by one and then we will be able to get the value of x which is width.
Because the delivery box is cuboid in shape so the volume is equal to product of length,breadth and height.
When x=7: Volume=7 x (7 - 2) x (2x7 - 6) = 7 x 5 x 8 = 280
When x=9,Volume will be 9 x (9 - 2) x (2x9 - 6) = 9 x 7 x 12 = 756
Therefore, the width of the delivery box is 9 inches.
Hence the width of the delivery box is 9 inches.
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