There is a complex geometric object (in the figure) divided by three sections A, B, C, how to calculate the volume?

Question

Mathematics

There is a complex geometric object (Fig) divided by three sections A, B, C Known values: the area of ​​​​the sections of

this object SA, SB, SC and the distances between them L1, L2, L3

V1,V2,V3



Find the volume of V2 using the formula of a truncated pyramid, since sections A and B are parallel to each other and can be considered as the bases of this truncated pyramid

V2=⅓ L2 (SA+√(SA x SB)+SB)

How to find V1 and V3 mathematically those. without drawing a figure in CAD systems

A slight calculation inaccuracy is allowed

Answer 1

Break the figure into simple geometric shapes, calculate their volume, and then add them. The dimensions of compound figures can be easily found from the drawing.