Question

Please solve!! Use that polynomial to determine the total surface area of each of the following rectangular solids please read below

Answer 1

Hello

The formula of the total surface area of this figure is

`\begin{gathered} 2lw+2lh+2hw \\ 2(5* x)+2(3*5)+2(x*5) \\ 10x+30+10x=20x+30 \end{gathered}`

The total surface area of this figure is 20x + 30

The polynomial that represents the total surface area of the figure is

20x + 30.

Now we have to find the surface area of figure a

3 by 5 by 3

The surface area for figure a is

`2(3*5)+2(5*3)+2(3*3)=78units^2`

The surface area for figure b is

3 by 5 by 5

`2(3*5)+2(5*5)+2(5*3)=110units^2_{}`

The surface area of figure c is

3 by 5 by 12

`2(3*5)+2(3*12)+2(5*12)=222units^2`

The surface area for figure d is

3 by 5 by 14

`2(3*5)+2(5*14)+2(3*14)=254units_{}`

From the calculations above, the surface area of figure a, b, c and d are 78 units, 110 units, 222 units and 254 units respectively