Final answer:
The volume of the gold bar is found by converting the measurements from millimeters to centimeters and then multiplying the length, width, and height, resulting in a volume of 28.56 cm³.
Step-by-step explanation:
To find the volume of the gold bar with the provided dimensions, we first need to convert the measurements from millimeters to centimeters since the volume in question is requested in cubic centimeters (cm³). The dimensions of the gold bar are given as 65mm x 32mm x 14mm. To convert to centimeters, we divide each dimension by 10 since 10mm is equivalent to 1cm. Thus, the converted dimensions are 6.5cm x 3.2cm x 1.4cm.
Next, we calculate the volume by multiplying the length, width, and height of the bar:
Volume = length × width × height
= 6.5cm × 3.2cm × 1.4cm
= 28.56 cm³
Therefore, the volume of the gold bar is 28.56 cm³.