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 bax?

Rationale

To the nearest hundredth cubic inch, the volume of the shipping box is 77,502.59 cubic inches.

The volume of a rectangular prism is calculated by multiplying its depth, height, and width. In this case, the dimensions are 34.25 inches (depth), 69.37 inches (height), and 32.62 inches (width). When these values are multiplied, the result yields a volume of 77,502.59 cubic inches.

A (2,262.85) YOUR ANSWER

This value represents a significantly smaller volume than what would be expected from a rectangular prism of the given dimensions. It could be erroneously calculated by mixing up the dimensions or failing to multiply them correctly, leading to an inaccurate representation of the box's volume.

B (77,502.59) CORRECT

This value accurately reflects the computation for the volume of the box using the formula for the volume of a rectangular prism (Volume = depth × height × width). The calculation yields 34.25 × 69.37 × 32.62, which correctly evaluates to 77,502.59 cubic inches when rounded to the nearest hundredth.

C (136.24) YOUR ANSWER

This option is far too small to represent the volume of the box. Such a low value may arise from a miscalculation, possibly derived from erroneously using only one dimension or an incorrect conversion of units.

D (25,834.20) YOUR ANSWER

This figure also underestimates the actual volume of the box. It may stem from a misunderstanding of the dimensions' scale or a calculation error, failing to yield a product that accurately reflects the significant space encompassed by the dimensions provided.

Conclusion

The correct volume of the shipping box is 77,502.59 cubic inches, derived from multiplying the depth, height, and width of the rectangular prism. Other options represent miscalculations or misunderstandings of the dimensions involved, emphasizing the importance of accurate computation in determining volume.

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 bax?

To the nearest hundredth cubic inch, the volume of the shipping box is 77,502.59 cubic inches.

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