Expression for the surface area is: x² - 16 = 609
x = 25
The volume of the rectangular box is: 882 in.³
What is the Volume of a Rectangular Box?
Volume = (length)(width)(height).
Surface area of the open box = 609 in.²
Area of each cut 2 in. by 2 in. box = (2)(2) = 4 in.².
Expression for the surface area of the rectangular open box = Area of the large square piece of cardboard - 4(Area of each cut 2 in. by 2 in. box)
Plug in the values
x² - 4(4) = 609
x² - 16 = 609 (expression)
Solve for x
x² = 609 + 16
x² = 625
x = √625
x = 25
Volume of the open box = (x - 4)(x - 4)(2)
Plug in the value of x
Volume of the open box = (25 - 4)(25 - 4)(2) = 882 in.³
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