V = Pp * h Pc = 2Pp + Pb a) w podstawie mamy prostokąt: Pp = a*b Pp = 6*10 Pp = 60 wysokość = 12 V = Pp * h V = 60 * 12 V = 720 Pc = 2Pp + Pb Pb = 2 ściany 10 x 12 Pb1 = 2 * 10 * 12 = 120 * 2 = 240 Pb2 = 2 ściany 12 x 6 Pb2 = 2 * 12 * 6 = 12 * 12 = 144 Pc = 2Pp + Pb Pc = 2*60 + 240 + 144 Pc = 120 + 240 + 144 Pc = 360 + 144 Pc = 504 b) w podstawie mamy prostokąt: Pp = a * b Pp = 6 * 20 Pp = 120 z tw. Pitagorasa wyznaczamy wysokość: a² + b² = c² b² = c² - a² b² = 10² - 6² b² = 100 - 36 b = √64 b = 8 = h V = Pp * h V = 120 * 8 V = 960 Pc = Pp + Pb Pb = 2 ściany to trójkąty : (ah)/2 Pb1 = 2 * 1/2 (6 * 8) = 2 * 48/2 = 48 Pb2 = 1 ściana to prostokąt 8 x 20 Pb2 = 8 * 20 = 160 Pb3 = 1 ściana to prostokąt 10 x 20 Pb3 = 10 * 20 = 200 Pc = Pp + Pb Pc = 120 + 48 + 160 + 200 Pc = 480 + 48 Pc = 528 c) w podstawie mamy prostokąt: Pp = a * b Pp = 10 * 12 Pp = 120 z tw. Pitagorasa wyznaczamy wysokość: a² + b² = c² b² = c² - a² b² = 13² - (10/2)² b² = 13² - 5² b² = 169 - 25 b = √144 b = 12 = h V = Pp * h V = 120 * 12 V = 1440 Pc = Pp + Pb Pb = 2 ściany to trójkąty : (ah)/2 Pb1 = 2 * 1/2 (10 * 12) = 2 * 120/2 = 120 Pb2 = 2 ściany to prostokąty 12 x 13 Pb2 = 2 * 12 * 13 = 312 Pc = Pp + Pb Pc = 120 + 120 + 312 Pc = 240 + 312 Pc = 552 pozdrawiam
K - kwadratowe S-sześcienne a) Pp = 2*6cm*12cm + 2*10cm*12cm + 2*6cm*10cm = 504cmK V = 12cm*10cm*6cm = 720cmS b) Pp = 6cm*8cm:2+10cm*20cm+8cm*20cm = 384cmK V = 6cm*8cm:2*20cm = 480cmS c) Pp = 12cm*10cm:2 + 2*12cm*13cm + 10cm*12cm = 692cmK V = 12cm*10cm:2*12cm = 720cmS Mam nadzieję, że pomogłam;)