Question

A box has a volume of 30 cubic centimeters. The box is filled with unit cubes, with no gaps or overlaps. Each unit cube measures 1 centimeter in length, 1 centimeter in width, and 1 centimeter in height. How many unit cubes fill the box?

a. 15
b. 20
c. 25
d. 30

Answer 1

To find the number of unit cubes that fill the box, divide the volume of the box by the volume of each unit cube. In this case, 30 unit cubes can fill the box.

Step-by-step explanation:

To find the number of unit cubes that fill the box, we need to calculate the volume of the box. Given that the volume of the box is 30 cubic centimeters and each unit cube measures 1 centimeter on each side, we can divide the volume of the box by the volume of each unit cube.

The volume of each unit cube is 1 cubic centimeter since each side measures 1 centimeter. Therefore, to find the number of unit cubes that fill the box, we divide the volume of the box, which is 30 cubic centimeters, by the volume of each unit cube, which is 1 cubic centimeter.

30 / 1 = 30

Therefore, 30 unit cubes can fill the box.