Question

What is the surface area of the right prism given below?

Answer 1

Answer:

D. $504\text{ units}^2$

Step-by-step explanation:  

We have been an image of a right prism. We are asked to find the surface area of our given prism.

We will use surface area of prism formula to solve our given problem.

$\text{Surface area of right prism}=p\cdot h+2B$, where,

p = Perimeter of base of prism,

h = Height of prism,

B = Area of base of prism.  

Now, we need to find the third side of triangular base of prism using Pythagoras theorem.

$x^2=8^2+6^2$

$x^2=64+36$

$x^2=100$

$x=\sqrt{100}$

$x=10$

Upon substituting our given values in above formula we will get,

$\text{Surface area of right prism}=(10+8+6)\cdot 19+2(\frac{1}{2}\times 6\times 8)$

$\text{Surface area of right prism}=(24)\cdot 19+(48)$

$\text{Surface area of right prism}=456+(48)$

$\text{Surface area of right prism}=504$

Therefore, the surface area of our given prism is 504 square units and option D is the correct choice.