What is the volume of the prism?Enter your answer, as a mixed number in simplest form, in the box.____cm³

The volume prism refers to the number of cubic units that will exactly fill the figure. The volume of a rectangular prism can be found or calculate by using the formula V=Bh, where B represents to the area of the base or in other words the length and width of the rectangle.

In this exercise is given that the measures of a rectangular prism are 5 centimeters long, [tex]4 \frac{1}{2} [/tex] or [tex] \frac{9}{2} [/tex] centimeters wide, and [tex]3 \frac{1}{2} [/tex] or [tex] \frac{7}{2} [/tex] centimeters tall; and it is asked to find its volume. In order to find the volume of the prism, you should substitute the given values into the previous mention formula.

[tex]V=Bh[/tex]
[tex]V=(5 cm)( \frac{9}{2}cm)( \frac{7}{2}cm)[/tex]
[tex]V=( \frac{45}{2}cm^{2})( \frac{7}{2}cm) [/tex]
[tex]V= \frac{315}{4}cm^{3} [/tex] or [tex] 78\frac{3}{4} cm^{3} [/tex]

The volume of the prism is [tex] 78\frac{3}{4} cm^{3} [/tex].