Final answer:
The volume of the box is calculated by multiplying its length, width, and height, after converting the dimensions from centimeters to meters. The resulting volume of the box is 0.047506 m³.
Step-by-step explanation:
To calculate the volume of a box, you multiply its length by its width by its height. The box in question has dimensions of 290 cm wide, 43 cm deep, and 3.8 cm high. To express the volume in cubic meters (m³), we need to convert each dimension from centimeters to meters by dividing by 100 since there are 100 centimeters in a meter.
First, convert the dimensions to meters:
290 cm = 2.90 m
43 cm = 0.43 m
3.8 cm = 0.038 m
Next, multiply the converted dimensions to find the volume in cubic meters:
Volume = Length × Width × Height
Volume = 2.90 m × 0.43 m × 0.038 m
Volume = 0.047506 m³
Therefore, the volume of the box in cubic meters is 0.047506 m³.