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?

Rationale

The volume of the box is 120 m³.

The volume of a rectangular box is calculated by multiplying its length, width, and height. For this box, the volume is 8 meters (length) × 5 meters (width) × 3 meters (height) = 120 cubic meters.

A (24 m^3) YOUR ANSWER

This volume calculation is incorrect as it may result from multiplying the height (3 m) by a combination of the length and width that does not yield the total volume. In this case, 8 m multiplied by 3 m or 5 m alone does not account for the other dimension, hence resulting in an inaccurate volume.

B (120 m^3) CORRECT

This is the correct volume of the box, calculated using the formula for the volume of a rectangular prism: Length × Width × Height = 8 m × 5 m × 3 m = 120 m³. This calculation correctly represents the three dimensions of the box.

C (40 m^3) YOUR ANSWER

This option likely arises from an incorrect calculation, such as multiplying the width (5 m) by the height (3 m), resulting in 15 m², and then mistakenly interpreting this as volume without considering all three dimensions. The actual volume requires the length to also be included in the calculation.

D (158 m^3) YOUR ANSWER

This value does not correspond to any logical calculation involving the dimensions provided. It may result from a miscalculation or misreading of the dimensions, as it exceeds the actual computed volume when applying the correct formula.

Conclusion

The volume of a rectangular box is determined by the product of its length, width, and height. In this case, the correct calculation yields a volume of 120 m³. Other options either stem from incorrect calculations or misinterpretations of the dimensions, reinforcing the precision needed in mathematical operations involving geometric figures.

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?

The volume of the box is 120 m³.

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