A prism has a right triangle as its base with a hypotenuse that measures 15 meters and legs that measure 9 meters and 12 meters. What is the surface area of this prism if the height of the prism is 11 meters?

450 m2

486 m2

504 m2

612 m2

Question

A prism has a right triangle as its base with a hypotenuse that measures 15 meters and legs that measure 9 meters and 12 meters. What is the surface area of this prism if the height of the prism is 11 meters?

 450 m2

 486 m2

 504 m2

 612 m2

anonymous · Answer

Calculate the lateral areas (the sides are rectangles, so it's no big deal) then add twice the area of the base.  Since it is a right triangle, the height and base in the area formula will be the two legs.

anonymous · Answer

If you do a little algebra along the way, it makes it even easier.$$A=ah+bh+ch+2(\frac{ab}{2})=h(a+b+c)+ab=11(9+12+15)+9(12)=504$$

anonymous · Answer

so its the third one?

anonymous · Answer

last time they told me it was the last one and it was wrong

anonymous · Answer

Look at my math.  What do you think?

anonymous · Answer

ur math dosent apear

anonymous · Answer

now it does

anonymous · Answer

its 396? butt it dosent match

anonymous · Answer

answer????

anonymous · Answer

Assuming that the prism is a right triangular base prism, its surface area is the sum of its lateral area and the area of its two triangular bases. SA = ph + 2 B where p is the perimeter of the base and B is the area of each base. SA = ( 9 + 12 + 15) * 11 + 2 (1/2) (9)(12) SA = 36 * 11 + 2 (108) = 612 square meters

anonymous · Answer

thanks

anonymous · Answer

No problem

anonymous · Answer

lawrenceh123: pretty sure your next-to-last phrase and your total are wrong.  The two and the one half cancel, so it ends up 396 plus 108 is 504.

anonymous · Answer

true i got the answer wrong thanks

anonymous · Answer

So were you right or me, im confused