Question

- A cereal manufacturer needs to change the

size of its cereal box to fit on narrower
shelves. The dimensions of the current box
are 12 inches high by 9 inches wide by 2
inches deep. The new box will have the
same height and volume, but the width will
be reduced by 1 inch. What will be the
depth, to the nearest hundredth of an inch, of
the new cereal box?​

Answer 1

2.25 inch

Explanation:

The current volume of box :

Volume = height * width * depth

Volume = 12 * 9 * 2

Volume = 216 in³

New dimension :

Height and volume are the same

Width = 9 - 1 = 8

Depth = x

Volume = height * width * depth

216 = 12 * 8 * x

216 = 96x

x = 216 / 96

x = 2.25 inch