Final answer:
The volume of a box with sides of 10 cm, 8.2 cm, and 3.5 cm is calculated as 287 cubic centimeters (cm³) by multiplying the lengths of all three dimensions together.
Step-by-step explanation:
To calculate the volume of a box with sides of 10 cm, 8.2 cm, and 3.5 cm, use the formula for the volume of a rectangular prism, which is V = l × w × h. Here, l represents the length, w represents the width, and h represents the height. By plugging in the given dimensions, volume V is calculated as V = 10 cm × 8.2 cm × 3.5 cm, V = 287 cm³. Therefore, the volume of the box is 287 cubic centimeters (cm³).