The net of an equilateral triangular prism and some of its dimensions are shown in the diagram. The height of each triangular base is approximately 5.2 cm.
Which measurement is closest to the lateral surface area of the prism in square centimeters?
Question 1 options:
162
280.8
193.2
54
To find the lateral surface area of the triangular prism, we need to find the area of each triangular face and then multiply it by the number of faces.
Each triangular face has a base of 6 cm and a height of 5.2 cm. Therefore, the area of each triangular face is (1/2) * 6 cm * 5.2 cm = 15.6 cm^2.
The prism has three triangular faces, so the total lateral surface area is 15.6 cm^2 * 3 = 46.8 cm^2.
Therefore, the measurement closest to the lateral surface area of the prism is 46.8 cm^2.