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

Question

asked Feb 5, 2019 158k views

2 Answers

Sgt AJ · Answer 1 · 2019-02-10T14:11:07+0000

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=√(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.