Question

What is the volume of the prism?

Answer 1

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, $4 \frac{1}{2}$ or $\frac{9}{2}$ centimeters wide, and $3 \frac{1}{2}$ or $\frac{7}{2}$ 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.

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

The volume of the prism is $78\frac{3}{4} cm^{3}$.