Question

Solve for the TOTAL SURFACE AREA of the 3D figure given thefollowing information. Round your answer to the nearest tenth.PrismPerimeter of Base = 14-Height of Prism = 11Area of Base = 19

Answer 1

Explanation

We want to find the total surface area of the 3d figure given .

1. The figure is a prism.

The perimeter of the base is 14.

Thus, the lateral surface area is,

$\begin{gathered} LSA=Perimeter\text{ }of\text{ }base\times height\text{ }of\text{ }prism \\ LSA=14\times11=154square\text{ units} \end{gathered}$

The total surface area is thus;

$\begin{gathered} TSA=LSA+2(BASE\text{ }AREA) \\ =154+2(19) \\ =192\text{ square units} \end{gathered}$

Thus, the total surface area is 192 square units.