Use the image to answer the question.

Question

An illustration shows a triangular prism. The front triangular face is visible. The right rectangular face is visible. The visible rectangular face has a width of 5 centimeters and length of 11 centimeters. The sides and edges that are not visible are indicated by dashed lines. The legs of the triangular face are labeled 3 centimeters and 4 centimeters. The hypotenuse shares the same label as the width of the visible rectangular face.

What is the surface area of the triangular prism?

(1 point)

Answer 1

To find the surface area of a triangular prism, we need to calculate the area of all the faces and then add them together.

The triangular face has legs of 3 cm and 4 cm. Using the formula for the area of a triangle (1/2 * base * height), we get:
1/2 * 3 cm * 4 cm = 6 cm².

The rectangular face has a width of 5 cm and a length of 11 cm. The area of a rectangle is width * length, so:
5 cm * 11 cm = 55 cm².

Since there are two of each face on a triangular prism, we need to double both areas:
2 * 6 cm² = 12 cm² (for the triangular faces)
2 * 55 cm² = 110 cm² (for the rectangular faces)

Adding up the areas of all faces, we get:
12 cm² + 110 cm² = 122 cm².

Therefore, the surface area of the triangular prism is 122 cm².

Answer 2

se the image to answer the question.

An illustration shows a rectangular prism with its length measuring 17 centimeters, width measuring 10 centimeters, and height measuring 4 centimeters. The edges that are not visible are marked as dashed lines.

Jerry wants to wrap a present in a box for his mother. The box measures 10 cm wide, 4 cm high, and 17 cm long. How much wrapping paper will Jerry need to wrap the present?

(1 point)