Volume of cuboid = 3 x 2 x 0.30 = 1.8 m 3 (cubic meters) -1Īrea of the bottom base of the truncated pyramid, A1 = 3 x 2 = 6m 2Īrea of the top base of the truncated pyramid, A2 = 0.6 x 0.5 = 0.30m 2 Height of the truncated pyramid: H = 300mm (0.30m) Top dimensions of the truncated pyramid: L=0.6m, B=0.5m L=3m, B=2m, Thickness of cuboid=300mm (0.30m)īottom dimensions of the truncated pyramid: L=3m, B=2m You can also check the result by using the online calculator mentioned below. Total volume of trapezoidal footing = 1 + 2 = 4.05 + 1.79 = 5.84 m 3 Volume of cuboid = 3 x 3 x 0.45 = 4.05 m 3 (cubic meters) -1Īrea of the bottom base of the truncated pyramid, A1 = 3 x 3 = 9m 2Īrea of the top base of the truncated pyramid, A2 = 0.5 x 0.5 = 0.25m 2 Height of the truncated pyramid: H = 500mm (0.5m) Top dimensions of the truncated pyramid: L=0.5m, B=0.5m L=3m, B=3m, Thickness of cuboid=450mm (0.45m)īottom dimensions of the truncated pyramid: L=3m, B=3m Then the remaining formula will be,įind out the volume of trapezoidal footing below. Now, take out 1/3 and H as the common factor. Using the ratio to the area of bases and their heights, we get So let’s try to change the h variable into H. But for the truncated pyramid, we use the H variable. Now, in the equation, we get 2 variables i.e., h and H. Volume of truncated pyramid = Eqn.1 – Eqn.2 Volume of the smaller pyramid which is to be removed = 1/3 x A2 x (h – H) - Eqn.2 Volume of pyramid = 1/3 x Base area x Height of pyramid Now, the small portion of the pyramid that is removed is called the “ Frustum of a pyramid” and the remaining part which has the original base and smaller top base is called the “ Truncated (cutoff) pyramid”.Ī1 = Area of the bottom base of the pyramidĪ2 = Area of the top base of the truncated pyramid Let’s say, you take a pyramid and cut a portion of it from the apex. Now, Let’s discuss the derivation, shall we? This section is provided only for those who want to know the derivation of the above formula. Volume of Trapezoidal footing formula derivation So, The total volume of the trapezoidal footing is, The formula for calculating the volume of the truncated pyramid is, The formula for calculating the volume of the cuboid is, Isolated trapezoidal footing consists of two parts, namely
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