Calculate area of triangular prism11/20/2023 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 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. Surface area of a cone: A r² + r (r² + h²), where r is the radius and h is the height of the cone. Here is the formula for the surface area of a triangular prism. It is mentioned that the surface area of the kaleidoscope is 576 \(cm^2\) and the base height is 7.8 cm. Surface area of a cylinder: A 2r² + 2rh, where r is the radius and h is the height of the cylinder. The formula to calculate the surface area of a triangular prism is. Divide the lateral surface area by the sum of three sides to check the height. ![]() Process 2: Get the lateral surface area, triangle sides. Given the surface area, length and width find the height, volume and diagonal of a rectangular prism. Divide 4 times of volume by the result to see prism height. Given the length, width and height find the volume, surface area and diagonal of a rectangular prism. Find the height of the kaleidoscope.Īs stated, the length of each side of the kaleidoscope is 7.8 cm. Multiply the sum of 3 sides, sum two sides subtracted from the third side. 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. triangular prism, square prism, rectangular prism, pentagonal prism, hexagonal. You can use this formula for any rectangular prism, and you will always get the surface area. Add them all together to get the area of the whole shape: lw + lw + wh + wh + lh + lh. Now youve found the area of each of the six faces. = 6 \(\times\) 4 + (5 + 6 + 5) \(\times\) 15 triangular prism: (a) Calculate the Go to Surface Area or Volume. The area of the right face is also 20 square inches. ![]() ![]() 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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