![]() Therefore, 84 square feet of cloth is required for a tent. The perimeter of the base is the sum of the lengths of all three sides of. The base area is the area of the triangular base, and the slant height is the height from the apex to the base. \(\frac\times 8 \times 3+(5+5)\times 6\) The surface area of a triangular pyramid can be found using the formula: Surface Area Base Area + (1/2 Perimeter of Base Slant Height). 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 Answer: The surface area of a triangular pyramid is 96 units 2. It is mentioned that the surface area of the kaleidoscope is 576 \(cm^2\) and the base height is 7.8 cm. The surface area of a triangular pyramid Base Area+ 1 2(Perimeter×Slant Height) Base Area + 1 2 (Perimeter × Slant Height) Putting the values in the formula, The surface area of a triangular pyramid 24+ 1 2(12×18) 24 + 1 2 (12 × 18) 132 square units. ![]() ![]() 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. ![]()
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