What is the surface area of the net of a prism that has 10 mL 6 ML amms and 7mms
To find the surface area of the net of a prism, we need to calculate the area of all the individual faces and then add them up.
The net of a prism consists of 3 pairs of congruent rectangles - 2 rectangles representing the bases of the prism and 3 pairs of rectangles representing the lateral faces.
Given that the dimensions of the prism are 10 mm, 6 mm, and 7 mm, the surface area of the net can be calculated as follows:
1. The area of the base of the prism = (10 mm) * (6 mm) = 60 mm²
2. The area of the lateral faces = 2 * [(10 mm * 7 mm) + (6 mm * 7 mm)] = 2 * [70 mm² + 42 mm²] = 2 * 112 mm² = 224 mm²
Adding up the areas of the base and lateral faces, we get:
Surface area of the net = 60 mm² + 224 mm²
Surface area of the net = 284 mm²
Therefore, the surface area of the net of the prism is 284 mm².