Surface Area Unit Test 6 of 156 of 15 Items Question Use the image to answer the question. What is the surface area of the triangular prism? (1 point) square centimeters

To find the surface area of a triangular prism, you need to calculate the areas of each of the faces and then add them up.

In this case, the triangular base has a base of 4 cm and a height of 3 cm. The area of this triangle is 1/2 * base * height = 1/2 * 4 cm * 3 cm = 6 square cm.

Since there are two triangular faces (front and back), the total area for the triangular faces is 2 * 6 square cm = 12 square cm.

Next, we need to calculate the area of the rectangular faces. The length of the rectangular faces is 4 cm and the width is 3 cm. The area of each rectangular face is length * width = 4 cm * 3 cm = 12 square cm.

Since there are three rectangular faces (top, bottom, and side), the total area for the rectangular faces is 3 * 12 square cm = 36 square cm.

Adding the areas of the triangular and rectangular faces together, the total surface area of the triangular prism is 12 square cm (triangular faces) + 36 square cm (rectangular faces) = 48 square cm.

Therefore, the surface area of the triangular prism is 48 square centimeters.