What is the volume of the box if its length is 5 dm, width is 30 cm, height is 200 mm?

1) Let’s convert centimeters and millimeters to decimeters.

Interrelation of measures of length:

1 dm = 10 cm; 1 cm = 1/10 dm; 30 cm = (30 * 1) / 10 = 3 dm;

1 dm = 100 mm; 1 mm = 1/100 dm; 200 mm = (200 * 1) / 100 = 2 dm.

2) In order to find the volume of a box (rectangular parallelepiped), it is necessary to multiply the lengths of all its sides:

V = a * b * c,

where a = 5 dm – length,

b = 3 dm – width,

c = 2 dm – height.

V = 5 * 3 * 2 = 30 dm3.

Answer: the volume of the box is 30 dm3.