Question

You are a store clerk assigned to stack notebooks in a box for shipment. Each notebook is 29 centimeters long, 21. centimeters wide, and 1.5 centimeters thick. The box can hold a maximum of 12 notebooks. To the nearest whole number of cubic centimeters, what is the minimum volume of the box?

Answer 1

The minimum volume of the box to hold 12 notebooks, each with the dimensions 29 cm by 21 cm by 1.5 cm, is 10962 cubic centimeters when rounded to the nearest whole number.

Step-by-step explanation:

To determine the minimum volume of the box needed to hold 12 notebooks, we must calculate the volume using the dimensions of one notebook and then multiply that by the number of notebooks to stack. Each notebook has the dimensions of 29 cm (length) by 21 cm (width) by 1.5 cm (thickness).

The volume of one notebook is calculated as follows:

Volume of one notebook = length × width × height

Volume of one notebook = 29 cm × 21 cm × 1.5 cm

Volume of one notebook = 913.5 cm³

Since the box needs to hold 12 notebooks, we then calculate:

Volume of 12 notebooks = 913.5 cm³ × 12

Volume of 12 notebooks = 10962 cm³

Therefore, the minimum volume of the box to the nearest whole number is 10962 cm³.