Answer:
318 cm²
Step-by-step explanation:
Use the Pythagorean theorem to find the height of the triangle.
h = √(10²-6²) = 8 cm
area of triangle = ½×6×8 = 24 cm²
There are two triangles, for total are of 48 cm².
area of slanted rectangle = 10×15 = 150 cm²
area of vertical rectangle = 15×8 = 120 cm²
Lateral area = 48+150+120 = 318 cm²