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 The surface area of any geometric figure is always measured in square units like cm 2, m 2, ft, or cubits 2. More topics in Surface Area of a Pyramid Formula:To find the surface area. Thus, the simple formula for calculating the surface area of a trapezoidal prism involves the area of the base, the perimeter of the base, and the slant height of any side of the prism. The total surface area of a triangular prism is equal to the sum of twice the base area and thrice the product of a triangular base with the prism’s length. It is mentioned that the surface area of the kaleidoscope is 576 \(cm^2\) and the base height is 7.8 cm. This calculator finds the volume, surface area and height of a triangular prism. 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. Find the surface area of the triangular prism (Figure 10.168). For example, suppose you have a box (Figure 10.163) with a hinged lid that you want to use for keeping photos. Surface area of a triangular prism = bh + (a + b + c)H To study objects in three dimensions, we need to consider the formulas for surface area and volume. We can find the surface area of the triangular prism by applying the formula, Things to Remember Surface area of a triangular prism is equal to (S1 +S2 + S3)L + bh Lateral surface area of a triangular prism is equal to (S1 +S2 + S3)L. Example 2: The perimeter of a triangular prism is 108 units and its lateral surface area is 756 units. Answer: The lateral area of the given triangular prism 160 cm 2. Thus, the lateral area of triangular prism (a + b + c ) h. ![]() ![]() The height of the triangular prism is H = 15 cm The height of the triangular prism 10 cm. Finds the area contained by the triangular surface at the top of the prism. The base and height of the triangular faces are b = 6 cm and h = 4 cm. Top Surface Area of a Triangular Prism Formula. 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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