Question

The net of a triangular prism is show below.Find the rotal surface area of the triangular prism 4.6,4,5,15

Answer 1

Answer:

228.4cm²

Step-by-step explanation:

Find the diagram attached

Total surface area of the prism = Ph + 2B

P is the perimeter of the base (triangle)

h is the height of the prism

B is Base area

P = 5cm + 5cm + 4cm

P = 14cm

h = 15cm

B = 1/2 * base * height

B  = 1/2 * 4.6 * 4

B = 4.6 * 2

B = 9.2cm²

Substitute the values into the formula;

Total surface area of the prism = Ph + 2B

Total surface area of the prism = 14(15)+2(9.2)

Total surface area of the prism = 210 + 18.4

Total surface area of the prism = 228.4cm²

Hence the total surface area of the triangular prism is 228.4cm²