Answer:
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
