The ratio of the corresponding linear measures of to some little jewelry boxes is 2 to 3 the larger Box has a volume of 162 in³ what is the volume of the sot smaller jewelry Box

48 in³

Step-by-step explanation:

The ratio of the linear measures is 2/3.

The ratio of the volumes is the cube of the ratio of the linear measures, so the ratio of the volumes is 2^3/3^3 = 8/27.

The volume of the larger box is 162 in³.

Let the volume of the smaller box be x.

x/162 = 8/27

27x = 8 * 162

x = 48