Answer:
478.32
Step-by-step explanation:
1) the basic formula is:
[tex]A=A_{base}+A_{sidesurface}.[/tex]
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);
[tex]A_{base}=6*27.72=166.32(cm^2).[/tex]
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);
[tex]A_{sidesurface}=6*52=312(cm.^2).[/tex]
4) finally, the required Area:
[tex]Area=A_{base}+A_{sidesurface}=166.32+312=478.32(cm.^2).[/tex]
