Question

A. what is the name of the 3D shape?

b. what is the formula for total surface area for this shape?

c. what is the surface area of the figure?

Answer 1

a. A triangular prism

b. SA = bh + Pd

c. 144 cm²

Explanation:

b. SA = bh + Pd where b is the base of the base triangle, is the height of the base triangle, P is the perimeter of the base triangle, and d is the depth of the triangle (the depth is perpendicular to the base triangle)

SA = bh + Pd

b = 4

h = 3

P = 3 + 4 + 5 = 12

d = 11, so

SA = 4(3) + 12(11) = 144