Kim sawhorse is 39 inches tall 27 inches long and 19 inches wide it’s diagonal measurement or the hypotenuse is 40.14 inches. What is the total surface area around your answer to the nearest hundredth?
To find the total surface area of the triangular prism, we need to find the areas of each of the five faces: two triangles and three rectangles.
1. Area of two triangles:
Area = 1/2 * base * height
Area = 1/2 * 27 * 39
Area = 526.5 square inches
2. Area of three rectangles:
Front and back faces: 27 * 39 = 1053 square inches (2 faces)
Top and bottom faces: 27 * 19 = 513 square inches (2 faces)
Side face: 39 * 19 = 741 square inches
Total surface area = 2(526.5) + 2(1053) + 2(513) + 741
Total surface area = 1053 + 2106 + 1026 + 741
Total surface area = 4926 square inches
Therefore, the total surface area of the triangular prism is 4926 square inches.