The surface area of the pyramid is equal to 160 square centimeters.
The surface area of a pyramid refers to the combined area of all the individual faces of the prism, including the bases and the lateral faces. The given pyramid have three same triangular lateral face with base 8 cm and height 11 cm, while the triangle base face have base of 8 cm and height 7 cm, thus we derive the surface area as follows:
Lateral faces = 3(1/2 × 8cm × 11cm)
Lateral faces = 3(44cm²)
Lateral faces = 132 cm²
Base face = 1/2 × 8cm × 7cm
Base face = 4cm × 7cm
Base face = 28 cm²
surface area of the pyramid = 132 cm² + 28 cm²
surface area of the pyramid = 160 cm²
Therefore, the surface area of the pyramid is calculated to be 160 cm².