Answer:
Explanation:
The volume of the solid is the area of the front face multiplied by the length.
The front face of the solid has the shape of a right triangle.
The leftmost side of that triangle is unknown.
We can use Pythagoras's theorem to find the length of the leftmost side.
The length of the leftmost side is
[tex]\begin{gathered} L=\sqrt[]{20.5^2-13.3^2} \\ L=15.6 \end{gathered}[/tex]
therefore, the volume of the solid is
[tex]\begin{gathered} Volume=\frac{1}{2}(15.6)(13.3)(16) \\ \end{gathered}[/tex][tex]\boxed{Volume=1659.84}[/tex]
The surface area of the solid is the sum if the surface areas of all its sides.
Surface area is
[tex](13.3\times16)+(13.3\times15.6)+(15.6\times16)+(20.5\times16)[/tex][tex]=997.88[/tex]
Hence, the area of the solid is 997.88 square mm.
