The total surface area of the triangular prism is 881 cm².
The total surface area of the prism is the sum of the areas of each of its faces. To find the area of each face, we need to find the areas of the triangles and rectangles that make up the faces.
Find the area of the triangles:
Triangle 1 (base 24 cm, height 10 cm): Area = 1/2 * base * height = 1/2 * 24 * 10 = 120 cm²
Triangle 2 (base 25 cm, height 14 cm): Area = 1/2 * base * height = 1/2 * 25 * 14 = 175 cm²
Find the area of the rectangles:
Rectangle 1 (length 25 cm, width 10 cm): Area = length * width = 25 * 10 = 250 cm²
Rectangle 2 (length 24 cm, width 14 cm): Area = length * width = 24 * 14 = 336 cm²
Add the areas of all the faces to find the total surface area:
Total surface area = Area of triangle 1 + Area of triangle 2 + Area of rectangle 1 + Area of rectangle 2
Total surface area = 120 cm² + 175 cm² + 250 cm² + 336 cm²
Total surface area = 881 cm²