Surface area of the 3d shape figure cm2

152 squared cm

Step-by-step explanation:

You divide the figure into 2 shapes. A triangular pyramid, and a rectangular prism. Find the surface are of each, and add them together.

Triangular pyramid

1. Find surface area of one triangle and multiply by 4, since there are four of the congruent triangles.

5(height) times 4(base of triangle) divided by 2

You get 10, then multiply 10 by 4, because there are 4 congruent triangles.

Figure 1 = 40 cm2

Rectangular Prism

4 times 4 = 16 (base surface area)

6 times 4 = 24 (area of one side)

24 times 4 = 96 (surface area of all 4 sides)

96(surface area of all 4 sides) + 16(surface area of base) = 112

40(surface area of pyramid) + 112(surface area of prism) = 152 cm2