Use Nets to Solve Triangular Problems Practice Complete this assessment to review what you've learned. It will not count toward your grade. 2 of 52 of 5 Items Question Use the image to answer the question. What is the total surface area of this eraser? Your answer should have two decimal places. (1 point) in.2

Answer 1

To find the total surface area of the eraser, we need to calculate the area of all six faces.

From the image, we can see that the eraser is in the shape of a triangular prism.

The formula to calculate the total surface area of a triangular prism is:
Total Surface Area = 2(base area) + (perimeter of base * height)

First, we need to find the base area of the triangular faces. The base is a triangle with a base of 1 in and a height of 1.5 in.

Base Area = 0.5 * base * height
Base Area = 0.5 * 1 in * 1.5 in
Base Area = 0.75 in^2

Next, we need to find the perimeter of the base, which is the perimeter of a triangle with three sides of 1 in, 1 in, and 1.5 in.

Perimeter = 1 in + 1 in + 1.5 in
Perimeter = 3.5 in

Now, we can calculate the total surface area using the formula:
Total Surface Area = 2(0.75 in^2) + (3.5 in * 1.5 in)
Total Surface Area = 1.5 in^2 + 5.25 in^2
Total Surface Area = 6.75 in^2

Therefore, the total surface area of the eraser is 6.75 in^2.