Answer:
478.32
Step-by-step explanation:
1) the basic formula is:

2) the Area of the base consists of 6 triangles, they are the same. In one triangle: its base is 8 cm., the height is 6.93 cm, - then the Area of one triangle is 0.5*8*6.93=27.72 (cm²);

3) the Area of the side surface consists of 6 triangles, they are the same. In one triangle: its base is 8 cm., the height is 13 cm, - then the Area of one triangle is 0.5*13*8=52 (cm.²);

4) finally, the required Area:
