6. A rectangular box has a length of 8 meters, a width of 5 meters, and a height of 3 meters. Which of the following is the volume of the box in cubic meters?
Answer: B
The volume of the box is 120 cubic meters.
To find the volume of a rectangular box, multiply its length, width, and height. For this box, the calculation is 8 meters (length) × 5 meters (width) × 3 meters (height), which equals 120 cubic meters.
A) 24 m^3
This option is incorrect because it does not reflect the correct multiplication of the dimensions. If we were to mistakenly multiply only two dimensions (for example, 8 × 3), we would arrive at 24 m³, but this would disregard the width of the box.
B) 120 m^3
This is the correct answer as it accurately represents the volume of the box calculated by multiplying all three dimensions: 8 × 5 × 3 = 120 m³.
C) 40 m^3
This option is also incorrect. To arrive at 40 m³, one could mistakenly multiply 8 meters by 5 meters and then halve the result, which does not apply to the volume calculation. The volume must include all three dimensions.
D) 158 m^3
This option is incorrect as well. The figure 158 m³ does not correspond to any multiplication of the given dimensions and suggests a misunderstanding of the basic formula for calculating volume.
Conclusion
The correct volume of the box is 120 m³, confirmed by the accurate multiplication of its dimensions. All other options either miscalculate or omit necessary dimensions, leading to incorrect results. Understanding the formula for volume is essential to solving such problems accurately.