$$V=lwh$$

where \(l\) is the length, \(w\) is the width, and \(h\) is the height.

We are given that the volume of the microwave oven is 1.2 cubic feet, the width is 18 inches, and the length is 10 inches. So, the height of the microwave oven can be found as follows:

$$1.2=18(10)h$$

$$1.2=180h$$

$$h=\frac{1.2}{180}$$

$$h\approx 0.0067\approx 0.7\ inches$$

Therefore, the microwave is approximately 0.7 inches deep.