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. Step 3: Find the area of the rectangular sides by multiplying the perimeter of a base triangle by the length of the prism: A ( b 1 + b 2 + b 3) l. Find the height of the kaleidoscope.Īs stated, the length of each side of the kaleidoscope is 7.8 cm. The volume of a rectangular prism is the length times the width times the height. Explanation: If you think it is too long to remember, just find the area of each of the shapes on it and add them together. To find the surface area of this triangular prism, find the area of the three rectangles and two triangles in its net and add all the areas together. The surface area of the kaleidoscope is 576 \(cm^2\), and its base height is 7.8 cm. The formula for surface area of a rectangular prism is. 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. J 1.04M subscribers Subscribe Subscribed 8. Calculate the surface area of a rectangular prism with a length of 6 units, a width of 4 units, and a height of 3 units. Give these problems a shot for some practice: Find the surface area of a triangular prism with a base area of 10 square units, a base perimeter of 12 units, and a height of 5 units. Surface area of a triangular prism = bh + (a + b + c)H Practice Problems on Surface Area of Prisms. We can find the surface area of the triangular prism by applying the formula, The surface area of a triangular prism is the sum of the areas of its 3 lateral faces and 2 bases and is given by the formula, where SA is surface area, a, b and c are the lengths of the sides of the bases, b is the bottom side of the base, and h is the height of the base. 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 areas of each of the three rectangular faces, using the formula for the area of a rectangle: length x width. 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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