The formula for the volume of a box is V = l * w * h, where V is the volume, l is the length, w is the width, and h is the height.
So a literal equation for the volume of a box is:
V = l * w * h
To rewrite the volume formula to solve for height, we can divide both sides of the equation by l * w:
V / (l * w) = h
Given that the volume of the box is 450 cubic inches, and the area of the base is 75 square inches, we can substitute those values into the equation and solve for h:
450 / (l * w) = h
we know that l*w = 75, so we can substitute it into the equation:
450 / 75 = h
So h = 6
Therefore, the height of the new boxes is 6 inches.