![]() ![]() 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 It is mentioned that the surface area of the kaleidoscope is 576 \(cm^2\) and the base height is 7.8 cm. ![]() Find the height of the kaleidoscope.Īs stated, the length of each side of the kaleidoscope is 7.8 cm. 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. ![]() See examples, diagrams, and a lesson on the derivation of the formula. Surface area of a triangular prism = bh + (a + b + c)H Learn how to calculate the surface area of a triangular prism using a formula that combines the areas of the base triangle and the three rectangular faces. We can find the surface area of the triangular prism by applying the formula, The height of the triangular prism is H = 15 cm Find the areas of each of the three rectangular faces, using the formula for the area of a rectangle: length x width. The base and height of the triangular faces are b = 6 cm and h = 4 cm. Here are the steps to compute the surface area of a triangular prism: 1. A triangular prism has a triangular end with a base of 12 inches and a height of 9 inches. 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. The answer is the surface area of the above triangular prism is 248 square feet. ![]()
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