Question

the figure below is a net for a right rectangular prism. its surface area is 252 m^2 and the area of sine of tye faces are filled in below. find the area of the missing faces and the missing dimension

Answer 1

Notice that:

`Total\text{ Area=72m}^2+36m^2+72m^2+36m^2+2A=252m^2.`

Solving the above equation for A, we get:

`\begin{gathered} 2A=252m^2-(\text{72m}^2+36m^2+72m^2+36m^2), \\ 2A=36m^2, \\ A=(36m^2)/(2), \\ A=18m^2. \end{gathered}`

Now, recall that the area of a rectangle is given by the following formula:

`Area=height*length.`

Therefore:

`A=6m*?=18m^2.`

Solving for ?, we get:

`?=(18m^2)/(6m)=3m.`

Answer:

The area of the missing face is

`18m^2.`

The length of each missing side is:

`3m.`