![]() Therefore, 84 square feet of cloth is required for a tent. Since the kaleidoscope is in the shape of a triangular prism, we can use the formula for the surface area to find its height.ĥ76 = 9 \(\times\) 7.8 + (9 + 9 + 9)H ĥ76 – 70.2 = (27)H Find the lateral area by calculating the perimeter of the base and multiply it by the height of the prism. It is mentioned that the surface area of the kaleidoscope is 576 \(cm^2\) and the base height is 7.8 cm. To find the surface area of a triangular prism, use the formula Surface Area L + 2B, where L is the lateral area and B is the area of the base. Example 2: The perimeter of a triangular prism is 108 units and its lateral surface area is 756 units. Answer: The lateral area of the given triangular prism 160 cm 2. Thus, the lateral area of triangular prism (a + b + c ) h. Find the areas of each of the three rectangular faces, using the formula for the area of a rectangle: length x width. The height of the triangular prism 10 cm. ![]() Find the height of the kaleidoscope.Īs stated, the length of each side of the kaleidoscope is 7.8 cm. Here are the steps to compute the surface area of a triangular prism: 1. The surface area of the kaleidoscope is 576 \(cm^2\), and its base height is 7.8 cm. Hence, the surface area of a triangular prism is 264 square centimeters.Ĭathy recently purchased a new triangular kaleidoscope in which the sides are 9 cm long. Surface area of a triangular prism = bh + (a + b + c)H ![]() We can find the surface area of the triangular prism by applying the formula, The height of the triangular prism is H = 15 cm The base and height of the triangular faces are b = 6 cm and h = 4 cm. Find the surface area of the triangular prism with the measurements seen in the image.įrom the image, we can observe that the side lengths of the triangle are a = 5 cm, b = 6 cm and c = 5 cm.
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