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. When base triangle is a right-angled triangle, with two legs b and h then area (1/2) bh. When base triangles base b and height h is given, then area (1/2) bh. Find the height of the kaleidoscope.Īs stated, the length of each side of the kaleidoscope is 7.8 cm. Real-life maths Game - Divided Islands Key points A prism has a constant cross-section. The formulas that can be used to find the base area of a triangular prism are, When base triangle is equilateral, with each side a, then area 3a 2 /4. 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. Find the areas of each of the three rectangular faces, using the formula for the area of a rectangle: length x width. The general formula for the total surface area of a right prism is T. The area of the triangular cross-section is 10 mm². Lateral Surface Area 12(8) 96 inches2 12 ( 8) 96 inches 2. Surface area is the total space available outside of an. Multiply the base by the height and divide by two, (5 × 4)/2 10. Surface Area of a Triangular Prism Formula. The properties will change for irregular or semiregular polygons. Surface area of a triangular prism = bh + (a + b + c)H Here are the steps to compute the surface area of a triangular prism: 1. A triangular prism when divided has five faces, two triangular and three rectangular faces. We can find the surface area of the triangular prism by applying the formula, Alternatively, you use the formula SA bh + (s. The height of the triangular prism is H = 15 cm This ensemble of surface area of a triangular prism printable worksheets is packed with learning Focussing on triangular prisms, this set of free pdfs requires students to find the surface area by adding up the areas of three rectangular faces and two parallel triangular bases. 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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