Find the surface area AND the volume of the triangular prism

SA=1200 in squared. V=2160 in cubed.

Step-by-step explanation:

Let's start with the surface area. The area of of a triangle is 1/2 x b x h. But we have 2 congruent triangle on the prism, so we have this.

2 x 1/2 x b x h.

The 2 and 1/2 cancel so we are left with b x h.

The other sides are easy.

Find the area of the sides we know that have base times height.

16 x 30 + 16 x 9 + 30 x 9...

To find the last side, we need to find the hypotenuse.

To find it, we use the pythagorean theorem.

a²+b²=c²

Use the values of the right triangle's dimensions and plug them in.

16²+30²=c²

256+900=c²

c²=1156

c=34

now using this, we have

16 x 30 + 16 x 9 + 30 x 9 + 9 x 34.

Now solve!

SA = 1200 in squared

The volume is easy.

All we need is the area of the triangular side and multiply it by the depth, 9.

16 x 30 x 1/2 =

240

240 x 9=

2160. in cubed