Therefore, 84 square feet of cloth is required for a tent. Find the areas of each of the three rectangular faces, using the formula for the area of a rectangle: length x width. Area a × sin () × sin () / (2 × sin ( + )) In this particular case, we're using the law of sines. \(\frac\times 8 \times 3+(5+5)\times 6\) Here are the steps to compute the surface area of a triangular prism: 1. Surface Area of the Triangular Prism (bh + (a + b + c)H) Where b and h is the base and height of the bases, respectively and H is the height of the prism. 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 Therefore, Surface area of triangular prism 2 ( × b × h) + (a + b + c)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. 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.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |