![]() Therefore, 84 square feet of cloth is required for a tent. Step 3: Find the area of the rectangular sides by multiplying the perimeter of a base triangle by the length of the prism: A ( b 1 + b 2 + b 3) l. Next, plug the triangle area value, B, and the value for the height of the prism, H, into the volume formula and multiply the values together. 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 First, plug in the values for the area formula of a triangle to find the base area, B. It is mentioned that the surface area of the kaleidoscope is 576 \(cm^2\) and the base height is 7.8 cm. In this equation, VT represents the volume of the triangular. Find the height of the kaleidoscope.Īs stated, the length of each side of the kaleidoscope is 7.8 cm. The volume of a triangular prism can be calculated using the following formula: VT 3(AB × CD). 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. The formula for the surface area of a triangular prism, where SA total surface area, b base of triangle, h height of triangle, l length of prism, and P perimeter of triangular base, is.
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