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. 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. Therefore, the surface area of the prism is 208 units 2. Surface area of a triangular prism = bh + (a + b + c)H Substituting the values of the base area, base perimeter, and height in the surface area formula we get, Surface area of prism (2 × 48) + (28 × 4) 208 units 2. We can find the surface area of the triangular prism by applying the formula, The height of the triangular prism is H = 15 cm Find: The area of the total lateral surface. Example 1: The base of a right triangle prism where the lengths of the sides arc are 13 cm, 20 cm, and 21 cm. The base and height of the triangular faces are b = 6 cm and h = 4 cm. The surface area of a triangular prism formula (Apothem length x base length) + 3 x (base length x height). Problem 1: Surface Area and Volume of a Truncated Triangular Prism. K is B multiplied by the value of sin, L is equal to the average length of its lateral edges, and n is the number of sides of the base. Figure 5 shows oblique square, rectangular and triangular. Then, the triangular prism’s volume will be: Volume (B.H h) / 2. If the base of the triangle is B and the height is H, then its base area is: Base Area B.H / 2. A triangle is a three-sided polygon whose three angles sum to 180°. 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 volume of a truncated prism is given by the formula below. A triangular prism has a triangle as its base.
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