Question

Use the image to answer the question.
there is a triangular prism with the measurements of 4 cm, 11 cm, 5 cm, and 3 cm
What is the surface area of the triangular prism?
__ square centimeters

Answer 1

To find the surface area of a triangular prism, we need to calculate the area of each face and then sum them up.

1. The two triangular faces:
Area = 0.5 * base * height
First triangular face:
Area = 0.5 * 4 cm * 5 cm = 10 square cm
Second triangular face:
Area = 0.5 * 3 cm * 5 cm = 7.5 square cm

2. The three rectangular faces:
First rectangular face:
Area = 4 cm * 11 cm = 44 square cm
Second rectangular face:
Area = 4 cm * 11 cm = 44 square cm
Third rectangular face:
Area = 3 cm * 11 cm = 33 square cm

Adding up all the areas:
10 square cm (first triangular face)
+ 7.5 square cm (second triangular face)
+ 44 square cm (first rectangular face)
+ 44 square cm (second rectangular face)
+ 33 square cm (third rectangular face)
= 138.5 square cm

Therefore, the surface area of the triangular prism is 138.5 square centimeters.