A pencil holder shaped like a triangular prism is shown. The height of the prism is 12 centimeters. the length is 10
What is the lateral surface area of the pencil holder in square centimeters?
To find the lateral surface area of a triangular prism, we need to find the perimeter of the base triangle and multiply it by the height of the prism.
The base triangle is an equilateral triangle, which means all three sides have the same length.
We are given that the length of the prism is 10 centimeters. Since the prism is in the shape of a triangular prism, the length is the same as the side length of the equilateral triangle.
The formula for the perimeter of an equilateral triangle is P = 3s, where s is the length of one side.
Therefore, the perimeter of the base triangle is 3 * 10 = 30 centimeters.
Now we can find the lateral surface area by multiplying the perimeter (30 centimeters) by the height (12 centimeters):
Lateral surface area = 30 cm * 12 cm = 360 square centimeters.
Therefore, the lateral surface area of the pencil holder is 360 square centimeters.
A pencil holder shaped like a triangular prism is shown. The height of the prism is 12 centimeters. the length is 10 cm and the other sides are 7 cm
What is the lateral surface area of the pencil holder in square centimeters?
To find the lateral surface area of a triangular prism, we need to find the perimeter of the base triangle and multiply it by the height of the prism.
The base triangle has side lengths of 7 cm, 7 cm, and 10 cm.
To find the perimeter of the base triangle, we add up all the side lengths: 7 cm + 7 cm + 10 cm = 24 cm.
Now we can find the lateral surface area by multiplying the perimeter (24 cm) by the height (12 cm):
Lateral surface area = 24 cm * 12 cm = 288 square centimeters.
Therefore, the lateral surface area of the pencil holder is 288 square centimeters.