Answer:
1) Full surface area = 156unit^2 this is correct.
lateral surface area = 144unit^2, this wasn't asked.
2) C = 528unit^2 is correct.
Lateral = 480unit^2 this wasnt asked.
Step-by-step explanation:
yes the next one is C 528
The formula for finding the surface area is the same for all right prisms and is: Surface area = 2B + hP. In this formula, B is the area of one of the bases, while h is the prism's height, and P is the perimeter of the base.
In effect;
step 1 = parallel sides indicate the bases of all triangular prism
step 2 = perimeter = 3+4+5 = 12
step 3 = LA = P x H = P x Length which is lateral height
LA = 12 x 12 = 144
step 4 = SA = 1/2 b x h (height of triangle) +LA
SA = 1/2 4 x 3 + LA
SA = 2 x 3 = 6 = 1 base + LA (+base)
SA = 6+6 = 12 + 144 = 156 = 2b+LA
IF you remember LA is perimeter x length of prism but label L as H then use little h for triangle h. You can remember.
