a box shaped like a rectangular prism has a height of 17 inches and a volume of 2,720 in^3 the length is 4 inches greater than twice the width. what is the width of the box?
Let the width of the box be x inches.
According to the given information, the length of the box is 4 inches greater than twice the width, which can be written as 2x + 4 inches.
The height is given as 17 inches.
The volume of a rectangular prism is given by the formula: volume = length × width × height.
Therefore, we have the equation: 2x + 4 × x × 17 = 2,720.
Expanding this equation gives us: 34x + 68x = 2,720.
Combining like terms gives us: 102x = 2,720.
Dividing both sides of the equation by 102 gives us: x = 2,720 / 102 = 26.6667 (rounded to 4 decimal places).
Therefore, the width of the box is approximately 26.6667 inches.