![]() ![]() Area of the triangular base (A) ½ × base × height 1/2 × 9 × 10 45 sq. We know that, The lateral surface area of the prism Base perimeter × height. The base length of the triangle 9 inches. Therefore, 84 square feet of cloth is required for a tent. The base perimeter of the prism (P) 25 inches. \(\frac\times 8 \times 3+(5+5)\times 6\) Plug the decimal dimensions in SA bh + (s1 + s2 + s3)H, where b and h are the base length and height of the triangle s1, s2, and s3 are the lengths. Answer: The surface area of the equilateral triangular prism is 180 squared units. The surface area of an equilateral triangular prism 2 × 60 + 3 × 20. The surface area of the prism is the sum of the areas. The surface area of an equilateral triangular prism Area of the top and base triangles + Area of the three rectangular faces. 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 To calculate the surface area of the triangular prism, calculate the area of each face and then add them together. 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. 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. ![]() Solution: From the image, we can observe that the side lengths of the triangle are a 5 cm, b 6 cm and c 5 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. Example 1: Find the surface area of the triangular prism with the measurements seen in the image. Surface area of a triangular prism = bh + (a + b + c)H It is typically easier for students to remember to find the area of the bases and the three rectangular faces, since these dimensions often vary. We can find the surface area of the triangular prism by applying the formula, Is there a surface area of a triangular prism formula The general formula is (S1+ S+ S3) L + bh, but it is not common for students to memorize this formula. The height of the triangular prism is H = 15 cm If there are more versions of this worksheet, the other versions will be available below the. Preview images of the first and second (if there is one) pages are shown. The base and height of the triangular faces are b = 6 cm and h = 4 cm. Use the buttons below to print, open, or download the PDF version of the Volume and Surface Area of Triangular Prisms (A) math worksheet. 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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