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. Find the height of the kaleidoscope.Īs stated, the length of each side of the kaleidoscope is 7.8 cm. Triangular Prism Formulas in terms of height and triangle side lengths a, b and c: Volume of a Triangular Prism Formula Finds the 3-dimensional space occupied. 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. The simple formula is Lateral Surface Area + 2( area of the base). Surface area of a triangular prism = bh + (a + b + c)H Some formulas have additional labeling for particular prisms. We can find the surface area of the triangular prism by applying the formula, Students must know the basic knowledge of triangular prisms. The total surface area is the sum of these. The lateral faces (or sides) are rectangles. A right prism is composed of a set of flat surfaces. Students must know the basic formulas of areas like area of triangle and rectangle. Try this Change the height and dimensions of the triangular prism by dragging the orange dots. Note: students must know the concept of surface area. The height of the triangular prism is H = 15 cm Therefore, the formula for the surface area of a triangular prism is. The base and height of the triangular faces are b = 6 cm and h = 4 cm. Whether youre just starting out, or need a quick refresher, this is the video for you if youre looking for help with triangular prism surface area. 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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