Therefore, 84 square feet of cloth is required for a tent. Heres the most basic formula for triangular prism surface that we can use: Area Length × (a + b + c) + (2 × Base area) or. 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 Use our online triangular prism calculator to find the surface area within a blink of eye. It is mentioned that the surface area of the kaleidoscope is 576 \(cm^2\) and the base height is 7.8 cm. Formula: Surface Area ( Base × Height ) + ( ( Side1 + Side2 + Side3 ) × Prism Height ) Generally, the surface area of a triangular prism formula is equal to twice the base area plus the perimeter of the base times the height or length of the solid. To calculate the surface area of triangular prisms, you need to calculate the area of each face and add them all together. 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. It is measured in square units such as m 2, cm 2, mm 2, and in 2. = 6 \(\times\) 4 + (5 + 6 + 5) \(\times\) 15 The surface area of a trapezoidal prism is the entire amount of space occupied by its outer surface (or faces). Surface area of a triangular prism = bh + (a + b + c)H It may seem at first like there are lots of volume formulas, but many of the formulas share a common structure. We can find the surface area of the triangular prism by applying the formula, Review the formulas for the volume of prisms, cylinders, pyramids, cones, and spheres. 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. The height of the triangular prism is H = 15 cm J 1.04M subscribers Subscribe Subscribed 8. The base and height of the triangular faces are b = 6 cm and h = 4 cm. How to Find the Surface Area of a Triangular Prism Math with Mr. 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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