First, draw a net for the triangular prism. The net will have two congruent triangles for the bases and three rectangles for the sides.
Next, calculate the area of each shape in the net.
The area of each triangle base can be calculated using the formula for the area of a triangle: 0.5 x base x height. Since the height of the triangle is given as 17cm and the base is 15cm, the area of each base is 0.5 x 15 x 17 = 127.5 cm².
The area of each rectangle side can be calculated using the formula for the area of a rectangle: length x width. Since the length is given as 13cm and the width is given as 7.48cm, the area of each rectangle side is 13 x 7.48 = 97.24 cm².
Since there are three rectangle sides in the net, multiply the area of one rectangle side by three to get the total area of all three rectangle sides: 97.24 x 3 = 291.72 cm².
Finally, add the areas of the two triangle bases and the three rectangle sides together to get the total surface area of the triangular prism: 127.5 + 127.5 + 291.72 = 546.72 cm².
Therefore, the surface area of the triangular prism is 546.72 cm².
Apply the technique of using nets to find the surface area of this triangular prism. Your answer should have two decimal places. 7.48cm 17cm 15cm 13cm
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