Question

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

Answer 1

520

Explanation:

apeex

Answer 2

Option D is correct

520 square units

Explanation:

Surface area of right prism(S) is given by:

`S = bh + pH`

where,

b is the base,

h is the height of the right angle triangle and

p is the perimeter of the triangle.

First find the hypotenuse(s) of the triangle.

Using Pythagoras theorem

`15^2+8^2 = s^2`

⇒
`√(225+64)=s`

⇒
`√(289)=s`

⇒s= 17 units

Now, the perimeter(p) of the triangle is the sum of the sides.

`p = 8+15+17 = 40`

Also, H = 10 units

Substitute the given values in [1] we have;

`S = bh + pH`

⇒S = (8)(15)+(40)(10) = 120+400 = 520 square units

Therefore, the surface area of the right prism is, 520 square units