To find the lateral surface area of the triangular prism, we need to find the area of each triangular face and then add them together.
First, we find the area of one of the triangular faces. The formula for the area of a triangle is 1/2 * base * height. In this case, the base is 7 cm and the height is 12 cm.
Area of one triangular face = (1/2) * 7 cm * 12 cm = 42 cm².
Since there are two triangular faces on the sides, the lateral surface area is equal to 2 times the area of one triangular face:
Lateral surface area = 2 * 42 cm² = 84 cm².
So, the lateral surface area of the pencil holder is 84 square cm.
A pencil holder is shaped like a triangular prism. the height is 12 cm. and the width is 7. what is the lateral surface area?
the other side length is 10
1 answer