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 In the below online surface area of a triangular prism calculator, enter the above mentioned parameters in the input. It is mentioned that the surface area of the kaleidoscope is 576 \(cm^2\) and the base height is 7.8 cm. Formula to find the surface area of a triangular prism is given by: where, b Triangle base length. 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. Find the height of the kaleidoscope.Īs stated, the length of each side of the kaleidoscope is 7.8 cm. This is the same thing as 3 to the third power. Or you might recognize this from exponents. And so we get 3 times 3 times 3, which is 27. First, plug in the values for the area formula of a triangle to find the base area, B. What is the volume of a triangular prism with the following dimensions: b 4 mm, h 3 mm, h 5 mm. So the volume is going to be the area of this surface, 3 times 3, times the depth. The answer is the volume of this triangular prism is 157.5 cm3. The surface area of the kaleidoscope is 576 \(cm^2\), and its base height is 7.8 cm. The formula for finding a triangular prisms volume is the area of the triangle (Width x Height x 1/2). 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. = 6 \(\times\) 4 + (5 + 6 + 5) \(\times\) 15 Top Surface Area of a Triangular Prism Formula Finds the area contained by the triangular surface at the top of the prism. c: the length of side c of the triangular base. b: the length of side b of the triangular base. a: the length of side a of the triangular base. ![]() ![]() ![]() Surface area of a triangular prism = bh + (a + b + c)H The formula for determining the surface area of a triangular prism is defined as: w h e r e. 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. A triangular prism has a triangular base with sides measuring 8 cm, 15 cm, and 17 cm. the volume of the triangular prism is 120cm3. Substitute the given values into the formula: V 1/2 × 4cm × 6cm × 10cm. Find the areas of each of the three rectangular faces, using the formula for the area of a rectangle: length x width. The formula for the volume (V) of a triangular prism is: V 1/2 × b × h × l. 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. Here are the steps to compute the surface area of a triangular prism: 1.
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