A rectangular prism has a length of 1514 centimeters, a width of 8 centimeters, and a height of 214 centimeters. Enter the volume of the prism as a mixed number in simplest form in the box.

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Answer:

[tex]Volume=274\frac{1}{2}cm^3[/tex]

Step-by-step explanation:

The volume of a rectangular prism is calculated using the formula;

[tex]Volume=l\times w\times h[/tex]

where [tex]l=15\frac{1}{4}cm[/tex] is the length, [tex]w=8cm[/tex] is the width, and [tex]h=2\frac{1}{4}cm[/tex] is the height of the rectangular prism.

We substitute these values into the formula to obtain;

[tex]Volume=15\frac{1}{4}\times 8\times 2\frac{1}{4}[/tex]

Change the mixed numbers to improper fraction

[tex]Volume=\frac{61}{4}\times 8\times \frac{9}{4}[/tex]

Simplify;

[tex]Volume=\frac{549}{2}[/tex]

[tex]Volume=274\frac{1}{2}cm^3[/tex]

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