<prompt> Fumana sebaka sa bokaholimo ba prism e kgutlotharo.Motheo: 10 cm Bolelele: 7 cm Bolelele: 15 cm  <response>: Instruction in English: Find the surface area of the triangular prism. . Response in English: The surface area of a triangular prism can be found by finding the area of each of its faces and adding them together. A triangular prism has five faces: two triangular bases and three rectangular lateral faces.First, lets find the area of the two triangular bases, which are congruent to each other.Area of base 12baseheight 12107 35 cm2Since the triangular prism has two bases, we must multiply it by 2.Area of two bases 2 35 70 cm2Next, we have to find the areas of the three rectangular lateral faces. The height of these rectangles is equal to the length of the prism 15 cm.One of the rectangles length is equal to the base of the triangle 10 cm.The other two rectangles length are equal to the sides of the triangle. We can use the Pythagorean theorem to calculate the length of the sides:side base22 height2 52 72 25 49 74 8.60 cmSo, the area of the rectangular faces are:Area of first rectangular face length width 15 10 150 cm2Area of the other two rectangular faces 2 15 8.60 258 cm2Finally, to find the surface area of the triangular prism, we must add the area of all the areas. Surface area 70 150 258 478 cm2So, the surface area of the triangular prism is 478 cm2. . Response in Sesotho: Sebaka se ka holima prism ea triangular se ka fumanoa ka ho fumana sebaka sa sefahleho se seng le se seng sa eona le ho li kopanya hammoho. Prism e khutlo-tharo e na le lifahleho tse hlano: metheo e meli ea kgutlotharo le lifahleho tse tharo tse khutlonnetsepa tse ka mahlakoreng. Taba ea pele, a re fumaneng sebaka sa metheo e meli ea khutlo-tharo, e lumellanang. Sebaka sa motheo 12 base bophahamo 12 10 7 35 cm2 Kaha prism ea triangular e na le metheo e meli, re tlameha ho e atisa ka 2. Sebaka sa metheo e meli 2 35 70 cm2 Ka mora moo, re tlameha ho fumana libaka tsa lifahleho tse tharo tsa mahlakore a mabeli a mahlakoreng a mabeli. Bophahamo ba likhutlo li lekana le bolelele ba prism 15 cm. E ngoe ea bolelele ba khutlonnetsepa e lekana le motheo oa khutlo-tharo 10 cm. Bolelele bo bong ba khutlonnetsepa bo lekana le mahlakore a kgutlotharo. Re ka sebelisa theorem ea Pythagorean ho bala bolelele ba mahlakoreng: lehlakore base22 height2 52 72 25 49 74 8.60 cm Kahoo, sebaka sa lifahleho tse khutlonnetsepa ke: Sebaka sa sefahleho sa pele sa khutlonnetsepa bolelele bophara 15 10 150 cm2 Sebaka sa lifahleho tse ling tse peli tse khutlonnetsepa 2 15 8.60 258 cm2 Qetellong, ho fumana sebaka sa bokaholimo ba prism e kgutlotharo. , re tlameha ho eketsa sebaka sa libaka tsohle. Sebaka sa bokaholimo 70 150 258 478 cm2 Kahoo, sebaka sa bokaholimo ba prism e kgutlotharo ke 478 cm2. 