Answer :

Final answer:

To find the volume of the object with dimensions [tex]6.2 cm × 13.7 cm × 26.9 cm[/tex], the volume formula for a rectangular prism is used. The calculated result is [tex]2281.786 cm³[/tex] or, when converted to cubic inches, approximately [tex]139.25 in³[/tex]. The provided multiple-choice options do not match this calculated volume, suggesting an error in the question or in the conversion.

Explanation:

To determine the volume of the object, one can use the formula for the volume of a rectangular prism, which is length × width × height. Given the dimensions of the object as [tex]6.2 cm × 13.7 cm × 26.9 cm[/tex] , we calculate as follows:

[tex]Volume = 6.2 cm × 13.7 cm × 26.9 cm[/tex]

[tex]Volume = 2281.786 cm³[/tex]

However, there seems to be some discrepancy, as the choices given are in cubic inches (in³). If one were to convert the calculated volume to cubic inches (since [tex]1 in³[/tex] is approximately [tex]16.387 cm³[/tex]), the volume in inches would be:

[tex]Volume = 2281.786 cm³ / 16.387 cm³/in³[/tex]

[tex]Volume ≈ 139.25 in³[/tex]

Thus, none of the multiple-choice options provided ([tex]160in³, 420in³, 329in³, and 280in³[/tex]) match the calculated volume of the object with the given dimensions. It is possible that there is a mistake in either the provided choices or the conversion from [tex]cm³ to in³.[/tex] More information would be needed to determine the exact volume in cubic inches as per the question's options.

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