Use the image to answer the question.

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.

Answer 1

The total surface area can be calculated by adding the areas of all its faces. There are two triangular faces and three rectangular faces.

The area of one triangular face is (1/2) x base x height, where the base is 1.5 inches and the height is 1.12 inches.

Area of one triangular face = (1/2) x 1.5 x 1.12 = 0.84 square inches

The area of one rectangular face is length x width.

Area of one rectangular face = 6 x 2 = 12 square inches

Therefore, the total surface area is:

2 x 0.84 + 3 x 12 = 25.68 square inches

Rounded to two decimal places, the total surface area is 25.68 square inches.

Answer 2

it says incorrect :(

Answer 3

I apologize for the mistake. Let's check the calculations again.

The area of one triangular face is (1/2) x base x height, where the base is 1.5 inches and the height is 1.12 inches.

Area of one triangular face = (1/2) x 1.5 x 1.12 = 0.84 square inches

The area of one rectangular face is length x width.

Area of one rectangular face = 6 x 2 = 12 square inches

To calculate the total surface area of the prism, we need to add the areas of all five faces.

Total surface area = 2 x area of triangular face + 3 x area of rectangular face
Total surface area = 2 x 0.84 + 3 x 12
Total surface area = 25.68 square inches

Therefore, the total surface area of the eraser is 25.68 square inches.