Question

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

Answer 1

D. 504

Explanation:

Answer 2

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=√(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((1)/(2)* 6* 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.