Question

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?

Answer 1

Given:

`4\text{ and one-half centimeters = }4(1)/(2)cm`
`3\text{ and one-half centimeters = 3}(1)/(2)cm`

The length of the right rectangular prism is

`l=4(1)/(2)cm.`

The width of the right rectangular prism is

`w=5cm.`

The height of the right rectangular prism is

`h=3(1)/(2)cm.`

Required:

We need to find the volume of the prism.

Step-by-step explanation:

`l=4(1)/(2)=(4*2+1)/(2)=(9)/(2)=4.5cm`

`h=3(1)/(2)=(3*2+1)/(2)=(7)/(2)=3.5cm`

Consider the volume of the prism formula.

`V=lwh`

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

`V=4.5*5*3.5`

`V=78.75cm^3`

Final answer:

The volume of the prism is 78.75 cubic cm.