Using the net,what is the surface area of the triangular prism. The rectangle is labeled on the left side as 9cm the 2 triangle is one side is 12cm the other side is 13cm. Base of rectangle is 5cm

Answer 1

To calculate the surface area of the triangular prism, we need to find the areas of each individual shape and then sum them up.

First, let's find the area of the rectangular base:
Area = length x width = 9 cm x 5 cm = 45 cm²

Next, let's find the area of each of the two triangles:
Area = 0.5 x base x height
Triangle 1: Area = 0.5 x 12 cm x 9 cm = 54 cm²
Triangle 2: Area = 0.5 x 13 cm x 9 cm = 58.5 cm²

Now, let's find the area of each of the rectangular sides:
Area = perimeter x height
Rectangle 1: Area = 2(9 cm + 5 cm) x 13 cm = 196 cm²
Rectangle 2: Area = 2(9 cm + 5 cm) x 12 cm = 192 cm²

Finally, we can calculate the total surface area of the triangular prism by summing up the areas of the rectangular base, two triangles, and two rectangles:
Total surface area = 45 cm² + 54 cm² + 58.5 cm² + 196 cm² + 192 cm² = 545.5 cm²

Therefore, the surface area of the triangular prism is 545.5 cm².