Question

Use the image to answer the question.

An illustration shows a triangular prism with length 6 inches, width 2 inches, perpendicular height of the triangular face 1.12 inches, and side of triangular face 1.5 inches.

What is the total surface area of this eraser? Your answer should have two decimal places.

(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The total surface area of the triangular prism can be calculated using the formula:

Total Surface Area = 2 * base area of the triangular face + base perimeter * prism length

First, let's calculate the base area of the triangular face:
Base Area = 0.5 * base * height = 0.5 * (1.5 inches) * (1.12 inches) = 0.84 square inches

Next, let's calculate the base perimeter:
Base Perimeter = 1.5 inches + 1.5 inches + 1.5 inches = 4.5 inches

Now, we can calculate the total surface area:
Total Surface Area = 2 * 0.84 square inches + 4.5 inches * 6 inches
Total Surface Area = 1.68 square inches + 27 square inches
Total Surface Area = 28.68 square inches

Therefore, the total surface area of this eraser is 28.68 square inches.