Use the image to answer the question.
An illustration shows a two-dimensional net of a triangular prism with all of its sides open and visible. The net appears as three vertical rectangles joined one on top of the other. All 4 sides of the middle rectangle are drawn with dashed lines. The width of the rectangles is 7 millimeters. The length of the middle rectangle is 8 millimeters. Two right triangles adjoin the middle rectangle on the left and the right, with the perpendicular sides measuring 6 millimeters and the hypotenuse measuring 10 millimeters.
Using the net of the prism shown, what is its surface area?
(1 point)
_____mm2
Surface area = area of the two triangular faces + area of the three rectangular faces
Area of each triangular face = 1/2 * base * height
Area of each triangular face = 1/2 * 6 * 8
Area of each triangular face = 24 mm^2
Area of each rectangular face = length * width
Area of top and bottom rectangular face = 8 * 7 = 56 mm^2
Area of middle rectangular face = 6 * 7 = 42 mm^2
Surface area = 2(24) + 2(56) + 42
Surface area = 48 + 112 + 42
Surface area = 202 mm^2
Surface area of the prism is 202 mm^2.