![]() ![]() Therefore, the weight of the water is 0.56 metric ton. W e i g h t = V o l u m e × De n s i t y = 0.56 m 3 × 1 metric ton/m 3 = 0.56 metric ton Since the density of water is approximately 1 metric ton/m^3, the weight of the water will be: The problem states that the trough is filled with water. Therefore, the volume of the trough is 0.56 m^3. Substituting the values from the problem into the formula above, the volume (in meter cube) of the trough can be calculated as follows: The general formula to find the volume of any prism is: Volume (V) Base Area × Height, here, the height of any prism is the distance between the two bases. It is measured in cubic units, such as cm 3, m 3, in 3, ft 3, yd 3. The formula for the volume of a right trapezoidal prism is given by: The volume of a prism is the total amount of space it occupies in the three-dimensional plane. The height of the trapezoidal tank (h) is 200 cm.Enter the Long Base (B), Short Base (b) and the Height of the trapezoid that forms one of the bases of the prism. The length of the top of trapezoid(b) is 40 cm. Volume calculator for a trapezoidal prism.The length of the base of trapezoid(a) is 100 cm.The dimensions of the trough are not specified in the solution but mentioned in the question. Identify the given parameters and formula for the volume of a trapezoidal prism.Ī drinking trough for horses is a right trapezoidal prism. Hence, the surface area of this trapezoidal prism is 7 m × (7 m + 3 m) + 10 m × (4 m + 7 m + 4 m + 3 m) = 250 m².Step 1. Natural Language Math Input Extended Keyboard Examples Upload Random. The last step is to compute the surface area using the following formula: ![]() The height of the trapezoidal prism is 7 m.įollowing the diagram, you can see the side a, side b, side c, and side d of the trapezoidal prism are 4 m, 7 m, 4 m, and 3 m respectively.Ĭalculate the surface area of the trapezoidal prism The same as before, the length of the trapezoidal prism is 10 m. You can calculate the surface area of a trapezoidal prism in four steps: The surface area is the sum of the areas of all the sides of an 3D object, incising its base and top.įor the surface area calculation, we will use the same trapezoidal prism as the last example. Hence, the lateral area of this trapezoidal prism is 10 m × (4 m + 7 m + 4 m + 3 m) = 180 m².Īfter understanding how to find the lateral area of a trapezoidal prism, let's talk about surface area. The last step is to compute the lateral area using the following formula: For this trapezoidal prism, these lengths are 4 m, 7 m, 4 m, and 3 m respectively.Ĭompute the volume of the trapezoidal prism Step 2: Substitute the given values in the formula V B × H where 'V', 'B', and 'H' are the volume, base area, and height of the prism. You can see sides a, b, c and d in the diagram. The steps to determine the base area of the prism, if the volume of the prism is given, are: Step 1: Write the given dimensions of the prism. ![]() In this example, the length of the trapezoidal prism is 10 m.įor our example, the height of the trapezoidal prism is 7 m.ĭetermine the lengths of sides a, b, c, and d You can calculate the lateral area of a trapezoidal prism in four steps: ![]() To understand the calculation of the lateral area of a trapezoidal prism, let's take the following trapezoidal prism as an example: Check out our rectangular prism calculator for more information. The lateral area is the sum of the areas of all the sides of an 3D object besides the base and the top. ![]()
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