Question

solve the problem. show your work. carmelita fills a box as shown below with unit cubes to find its volume. the unit cubes carmelita uses all have side - lengths of 1 centimeter. what is the volume of the box?

Explanation:

Step1: Count unit - cubes in length

Count the number of unit - cubes along the length of the box. Assume the length has 3 unit - cubes.

Step2: Count unit - cubes in width

Count the number of unit - cubes along the width of the box. Assume the width has 2 unit - cubes.

Step3: Count unit - cubes in height

Count the number of unit - cubes along the height of the box. Assume the height has 2 unit - cubes.

Step4: Calculate volume

The volume $V$ of a rectangular prism (box) is given by the formula $V = l\times w\times h$, where $l$ is the length, $w$ is the width, and $h$ is the height. Here, $l = 3$, $w = 2$, and $h = 2$. So $V=3\times2\times 2=12$ cubic centimeters.

Answer:

12 cubic centimeters