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 CM
280.8 CM
193.2 CM
54 CM
To find the lateral surface area of the prism, we need to find the area of all three rectangular faces.
The length of each rectangular face can be found by multiplying the base side length of the equilateral triangle by the height of the triangular base. In this case, the base side length is 6.2 cm.
So, the length of each rectangular face is 6.2 cm * 5.2 cm = 32.24 cm².
Since there are three rectangular faces, the total lateral surface area is 3 * 32.24 cm² = 96.72 cm².
Therefore, the measurement closest to the lateral surface area of the prism is 96.72 cm².
None of the given measurements are exact or very close to 96.72 cm². The closest option is 162 cm².