3. A shipping box for a refrigerator is shaped like a rectangular prism. The box has a depth of 34,25 Inches (in.), a height of 69,37 in., and a width of 32.62 in. To the nearest hundredth cubic inch, what is the volume of the shipping box?
Answer: B
The volume of the shipping box is 77,502.59 cubic inches.
To find the volume of a rectangular prism, the formula is length × width × height. Using the provided dimensions, the volume is calculated as 34.25 in. × 32.62 in. × 69.37 in., which equals 77,502.59 cubic inches when rounded to the nearest hundredth.
A) 2,262.85
This option is significantly lower than the calculated volume. It may result from an incorrect multiplication of dimensions or a miscalculation in unit conversion. Thus, it is not a valid answer.
B) 77,502.59
This is the correct answer. The volume calculated using the formula for a rectangular prism with the given dimensions is accurately 77,502.59 cubic inches, confirming that this option is correct.
C) 136.24
This option is also incorrect as it is much lower than the expected volume. It likely arises from an error in applying the volume formula or misunderstanding the dimensions, making it an invalid choice.
D) 25,834.20
While this option is a more reasonable number, it is still incorrect. The volume calculated does not support this figure, indicating a miscalculation in the use of the dimensions provided.
Conclusion
The correct answer, 77,502.59 cubic inches, is derived from the accurate application of the volume formula for a rectangular prism using the specified dimensions. Other options either represent miscalculations or do not align with the volume generated from the given measurements. Thus, they cannot be considered as valid answers.