Therefore, 84 square feet of cloth is required for a tent. \(\frac\times 8 \times 3+(5+5)\times 6\) triangular prism and Using these graphic calculators Desmos for instantly. 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 Practice Watch a video on finding the surface area of triangular prisms. 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. The surface area of the three rectangular faces is combined into the term that multiplies L by the sum of the three sides of the triangle (s1, s2, and s3). 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, Surface area of a rectangular prism (box): A 2 (ab + bc + ac), where a, b and c are the lengths of three sides of the cuboid. The total surface area of a prism is the sum of twice its base area and the product of the perimeter of the base and the height of the prism. Surface area of a cone: A r + r (r + h), where r is the radius and h is the height of the cone. The height of the triangular prism is H = 15 cm Surface area of a cylinder: A 2r + 2rh, where r is the radius and h is the height of the cylinder. 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. ![]() ![]() The base and height of the triangular faces are b = 6 cm and h = 4 cm. The height of the triangular prism 10 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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