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?
77,502.59 cubic inches is the correct volume of the shipping box.
To find the volume of a rectangular prism, the formula used is Volume = depth × height × width. Applying the given dimensions of 34.25 inches for depth, 69.37 inches for height, and 32.62 inches for width results in a total volume of 77,502.59 cubic inches when calculated to the nearest hundredth.
This value is significantly lower than the calculated volume. It likely results from a misunderstanding of the units or a miscalculation using incorrect dimensions. Such a small volume does not correspond to the dimensions provided for a refrigerator shipping box.
This is the correct answer, as it accurately reflects the volume calculated by multiplying the depth, height, and width of the box. The calculation yields a volume that aligns with the expected size of a refrigerator shipping box, confirming its correctness.
This option also represents an unrealistic volume for a shipping box of this size. The value is much too small and suggests a calculation error, potentially from using incorrect measurements or failing to convert units properly.
While this number is larger than options A and C, it still falls short of the actual calculated volume. This could stem from multiplying only two dimensions instead of all three or miscalculating the depth or width, leading to an incorrect total.
The volume of a shipping box for a refrigerator, shaped as a rectangular prism, is determined using the product of its dimensions. The accurate calculation yields 77,502.59 cubic inches, confirming option B as the correct answer. Other options represent significant miscalculations or misunderstandings of the dimensions involved. Understanding and applying the volume formula correctly is crucial for accuracy in such measurements.
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