Use the image to answer the 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)
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.
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)