Volume of any rectangular prism is (length) x (width) x (height).
The box in the picture is definitely a rectangular prism, so its volume is
(length) x (width) x (height) .
That's (4.0 cm) x (6.0 cm) x (2.0 cm) = 48 cm³ .
So the volume of the box is 48 cm³ fer sher, but that's NOT the preferred answer to this question. If you take your time and read all the fine print carefully, you'll see that this sneaky question wants the answer in units of meter³ . In order to produce the answer that it's fishing for, YOU have to be sneaky too. You have to convert units, either before you start doing the calculating, or else convert the units of your result before you choose the answer from the list.
Before you calculate: Convert the given dimensions to (meters). Then
Volume = (0.04 m) x (0.06 m) x (0.02 m)
Volume = 0.000048 m³
<em>Volume = 4.8 x 10⁻⁵ m³</em>
After calculating but before picking the answer:
Volume = (4.0 cm) x (6.0 cm) x (2.0 cm)
Volume = (48 cm³)
Convert:
Volume = (48 cm³) x (1 meter / 100 cm)³
Volume = (48 cm³) x (1 meter³ / 10⁶ cm³)
Volume = (48 cm³ meter³ / 10⁶ cm³)
Volume = 48 x 10⁻⁶ m³
or
<em>Volume = 4.8 x 10⁻⁵ m³</em>
This is exactly the same number as 48 cm³, but this is the way they want to see it, and 48 cm³ isn't. So you have to select choice - <em>D .</em>
