Answer:
The surface area of the prism is 144cm²
Explanation:
First of all we need to calculate the area of the triangle
a = area of triangle
a = (8 cm * 6 cm) / 2
a = 48cm² / 2
a = 24cm²
Now we have to calculate the 3 areas of the rectangles
a1 = 4cm * 10cm
a1 = 40cm²
a2 = 4cm * 8cm
a2 = 32cm²
a3 = 4cm *6cm
a3 = 24cm²
Now we must add all the calculated areas and the triangle 2 times
a1 + a2 + a3 + 2a =
40cm² + 32cm² + 24cm² + 2 * 24cm²
144cm²
The surface area of the prism is 144cm²