Question

What is the total surface area represented by this net of a triangle prism?DO NOT ROUND YOUR FINAL ANSWER.
NUMBERS:7.5,17,17,9,9,9,9,17
Answer in:cm^2

Answer 1

The total surface area represented by this net can be calculated by adding up the areas of all the faces. The net of the triangular prism consists of 5 faces: 2 rectangles and 3 triangles.

First, we calculate the area of the rectangles:
Area of each rectangle = length x width
Area = 17 x 9 = 153 cm^2 (2 rectangles)

Next, we calculate the area of the triangles:
Each triangle has a base of 9 cm and a height of 7.5 cm.
Area of each triangle = (1/2) x base x height
Area of each triangle = (1/2) x 9 x 7.5 = 33.75 cm^2
Area of all triangles = 33.75 x 3 = 101.25 cm^2

Now, we sum up all the areas:
Total surface area = 153 + 153 + 101.25 = 407.25 cm^2

Therefore, the total surface area represented by this net of a triangular prism is 407.25 cm^2.