The figure contains a right rectangular prism. The length of the prism is labeled 4 and one half centimeters, the width is labeled 5 centimeters, and the height is labeled 3 and one half centimeters. What is the volume of the prism?

Respuesta :

Given:

[tex]4\text{ and one-half centimeters = }4\frac{1}{2}cm[/tex][tex]3\text{ and one-half centimeters = 3}\frac{1}{2}cm[/tex]

The length of the right rectangular prism is

[tex]l=4\frac{1}{2}cm.[/tex]

The width of the right rectangular prism is

[tex]w=5cm.[/tex]

The height of the right rectangular prism is

[tex]h=3\frac{1}{2}cm.[/tex]

Required:

We need to find the volume of the prism.

Explanation:

[tex]l=4\frac{1}{2}=\frac{4\times2+1}{2}=\frac{9}{2}=4.5cm[/tex]

[tex]h=3\frac{1}{2}=\frac{3\times2+1}{2}=\frac{7}{2}=3.5cm[/tex]

Consider the volume of the prism formula.

[tex]V=lwh[/tex]

Substitute l =4.5, w =5, and h=3.5 in the formula.

[tex]V=4.5\times5\times3.5[/tex]

[tex]V=78.75cm^3[/tex]

Final answer:

The volume of the prism is 78.75 cubic cm.

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