A Prism Cross-Section Volume Ratio

Problem

In a regular triangular prism $ABC\text{-}A_1B_1C_1$ with all edges of length $1$ , let $D$ and $E$ be the midpoints of $BB_1$ and $B_1C_1$ . The cross-section through $A$ , $D$ , $E$ divides the prism into two parts; let $V_1$ be the volume of the smaller part and $V_2$ that of the other part. Find $\dfrac{V_1}{V_2}$ .

Answer

Solution

Difficulty	7/10
Topics	solid geometry

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