Respuesta :

To find the surface area of any object, the first step that you must do is find all shapes that are present in the object.

Here we have 2 triangles and 3 rectangles.

Knowing this, simply find the area of each shape.

Since the triangles are the same, one is facing up and the other down, they both would be 15.6 cm^2.

The rectangles would be 54 cm^2. as there are 3 ( 6 x 3 cm) ones.

Add the values up to have the surface area.

It’s 85.2 cm^2.
The surface area consists of lateral edges area, the upper base and the lower base area.

Find lateral edges area
The lateral edges consists of 3 rectangles with similar dimension, 6 cm long and 3 cm wide.

area = 3 × area of a rectangle
area = 3 × l × w
area = 3 × 6 × 3
area = 54

The area of lateral edges is 54 cm²


Find the surface area

sa = area of lateral edges + area of upper base + area of lower base
sa = 54 + 15.6 + 15.6
sa = 85.2

The surface area of the prism is 85.2 cm²