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. 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 You can see sides a, b, c and d in the diagram. 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: A trapezoidal prism is a 3D figure made up of two trapezoids that is joined by four rectangles. Check out our rectangular prism calculator for more information. It has a gazillion different shapes! (Fourteen, to be exact.The lateral area is the sum of the areas of all the sides of an 3D object besides the base and the top. a cube, which is a special case of a rectangular prism – you may want to check out our comprehensive volume calculator. If you're searching for a calculator for other 3D shapes – like e.g. Solve it manually, or find it using our calculator. Which expression gives the volume of the oblique rectangular prism A oblique. That's again the problem solved by the volume of a rectangular prism formula. Your good old large suitcase, 30 × 19 × 11 inches or You have to pack your stuff for the three weeks, and you're wondering which suitcase □ will fit more in: You are going on the vacation of your dreams □. But how much dirt should you buy? Well, that's the same question as how to find the volume of a rectangular prism: measure your raised bed, use the formula, and run to the gardening center. For that, you need to construct a raised bed and fill it with potting soil. The time has come – you've decided that this year you'd like to grow your own carrots □ and salad □. It is a similar story for other pets kept in tanks and cages, like turtles or rats – if you want a happy pet, then you should guarantee them enough living space. That's all The general formula for a regular octagonal pyramid reads: V 2 × (1 + 2) / 3 × a × h. If you're wondering how much water you need to fill it, simply use the volume of a rectangular prism formula. To get the volume of a regular octagonal pyramid with a side length of a and a height of h: Square the side length to get a. It's in a regular box shape, nothing fancy, like a corner bow-front aquarium. You bought a fish tank for your golden fish □. Where can you use this formula in real life? Let's imagine three possible scenarios:
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