Respuesta :

Given:

The dimensions of the prism are given as,

[tex]\begin{gathered} l=4ft \\ b=2\frac{1}{2}=\frac{5}{2}ft \\ h=4\frac{3}{4}=\frac{19}{4}ft \end{gathered}[/tex]

The objective is to find the volume of the prism.

Explanation:

The general formula to find the volume of the prism is,

[tex]V=l\times b\times h\text{ . . . . . . (1)}[/tex]

To find volume:

On plugging the given values in equation (1),

[tex]\begin{gathered} V=4\times\frac{5}{2}\times\frac{19}{4} \\ =47.5ft^3 \end{gathered}[/tex]

Hence, the volume of the prism is 47.5 ft³.

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