The height of the pyramid is 13 cm. At the base is a right-angled triangle with legs 6 cm and 8 cm. Find the volume of the pyramid.

To find out the volume of the pyramid under consideration, we use the formula: V = Sosn * hп / 3 = (a * b / 2) * hп / 3 = a * b * hп / 6.

Data: a – larger leg of the triangle at the base of the considered pyramid (a = 8 cm); b – smaller leg (b = 6 cm); hп – the height of the pyramid (hп = 13 cm).

Let’s perform the calculation: V = a * b * hp / 6 = 8 * 6 * 13/6 = 8 * 13 = 104 cm3.

Answer: The volume of the pyramid in question should be 104 cm3.