bases are isosceles triangles with parallel sides that measure 15 centimeters and 25 centimeters. the distance between the parallel sides is 12 centimeters and the length of each of the equal sides is 13 centimeters. the height of the prism is 20 centimeters.
C.13.57 cenimeters
To find the volume of the prism, we need to multiply the area of the base by the height.
Since the base is an isosceles triangle, we can use the formula for the area of a triangle: A = (1/2) * base * height. In this case, the base of the triangle is the distance between the parallel sides, which is 12 centimeters, and the height is the length of the equal sides, which is 13 centimeters.
Therefore, the area of the base (A) = (1/2) * 12 cm * 13 cm = 78 square centimeters.
Now, we can calculate the volume of the prism. The formula for the volume of a prism is V = A * height. In this case, the area of the base is 78 square centimeters, and the height of the prism is 20 centimeters.
Therefore, the volume of the prism (V) = 78 sq.cm * 20 cm = 1560 cubic centimeters.
So, the volume of the prism is 1560 cubic centimeters.