![]() ![]() 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 answer is the surface area of the above triangular prism is 486 square inches. It is mentioned that the surface area of the kaleidoscope is 576 \(cm^2\) and the base height is 7.8 cm. SA 108 + 27(14) Then, multiply the sum of the triangle sides by the height of the prism (H) and add the values together for the answer, making sure to include the appropriate unit of measurement. Find the height of the kaleidoscope.Īs stated, the length of each side of the kaleidoscope is 7.8 cm. The formula of the surface area of a triangular prism. 'Volume equals pi times radius squared times height. The prisms total surface area is equal to its lateral surface area and the doubled area of the base. The formula for the volume of a cylinder is: V x r2 x h. The surface area of the kaleidoscope is 576 \(cm^2\), and its base height is 7.8 cm. Note that the radius is simply half the diameter. The result will be the volume of the triangular prism. Since you now have all the parts of the equation, multiply the area by the height. Multiply the triangular area by the height of the prism to find the volume. 5 For example, your formula should now look like. 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. Place this number in the place of the formula. 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, STEP 4 Calculate the lateral surface area of the triangular prism using the formula, S Ph. The height of the triangular prism is H = 15 cm The general formula is: Surface Area (SA) B + 1 2 P s, here B base area, P base perimeter, s slant height, Also 1 2 P s lateral surface area ( LSA) SA B + LSA. The height of the prism is 32.5 centimeters. The base and height of the triangular faces are b = 6 cm and h = 4 cm. Adding these two components together, we get our formula: Surface Area Ph + 2 (0.5 base height), which simplifies to Surface Area Ph + base height. Since we have two such triangles, we double this value (2 (0.5 base height)). 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. The area of a triangle is calculated by multiplying the base by the height and then dividing by 2. ![]()
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