Answer:
C. [tex]432\text{ units}^2[/tex]
Step-by-step explanation:
We have been given an image of a right prism. We are asked to find the surface area of our given prism.
The surface area of our given prism will be sum of area of two base right triangles and area of three rectangles.
[tex]SA=2B+Ph[/tex], where,
SA = Surface area,
B = Area of each base,
P = Perimeter of base,
h = Height of prism.
Let us find area of right base of prism.
[tex]B=\frac{1}{2}\times 6\times 8[/tex]
[tex]B=3\times 8[/tex]
[tex]B=24[/tex]
Perimeter of base will be [tex]6+8+10=24[/tex].
Upon substituting these values in surface area formula, we will get:
[tex]SA=2*24+24*16[/tex]
[tex]SA=24(2+16)[/tex]
[tex]SA=24(18)[/tex]
[tex]SA=432[/tex]
Therefore, the surface area of our given prism is 432 square units and option C is the correct choice.
