Answer:
20 square units
Explanations:
The formula for calcuating the surface area of a rectangular prism is expressed as:
[tex]S=2(lw+lh+wh)[/tex]
where
l is the length
w is width
h is the height
If the surface area of the prism is 10 square units, hence;
[tex]\begin{gathered} 10=2(lw+wh+lh) \\ lw+wh+lh=5..................\text{ 1} \end{gathered}[/tex]
If the length, width and height are doublesd, then;
[tex]\begin{gathered} S=2(2lw+2wh+2lh) \\ S=4(lw+wh+lh)\text{ ..........................2} \end{gathered}[/tex]
Substitute equation 1 into 2 to have:
[tex]\begin{gathered} S=4(5) \\ S=20square\text{ units} \end{gathered}[/tex]
Therefore the new surface area of the prism will be 20 square units
