![]() ![]() The back face is the same as the front face so the area of the back is also 30cm 230cm2. The area of the triangle at the front is 1 2 × 12 × 5 30cm 221 × 12 × 5 30cm2. Work out the surface area of the triangular prism. ![]() If you need help, go to the Pythagorean theorem calculator. Example: What is the volume of a prism where the base area is 25 m 2 and which is 12 m long: Volume Area × Length. Example 1: finding the surface area of a triangular prism with a right triangle. Therefore, 84 square feet of cloth is required for a tent. The third side of a right triangle can be computed using the Pythagorean theorem: a + b c. 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 r + r (r + h), where r is the radius and h is the height of the cone. \(\frac\times 8 \times 3+(5+5)\times 6\) Surface area of a cylinder: A 2r + 2rh, where r is the radius and h is the height of the cylinder. Next, plug the area into the formula for finding the. 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 For example, if the base is 8 and the height is 9, you would get x 8 x 9 36. 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. 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 Find the length of the triangular prism if its base is 6 cm, altitude is 9 cm and the area is 198. The base and height of the triangular faces are b = 6 cm and h = 4 cm. Find the total surface area of a triangular prism if its base is 5 cm, altitude is 7 cm and length is 8 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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