识别数学题深度讲解---**Question 27:**
**Question Stem:**
如图，这是一个可以分成两个长方体的组合体，小强想计算它的体积，测量了图中的3条长，1条宽，3条高的长度。它们是10厘米、9厘米、8厘米、6厘米、5厘米、4厘米、3厘米，那么这个组合体的体积最大是多少立方厘米？
**Translation of measurements:** The lengths of 3 edges (长), 1 edge (宽), and 3 edges (高) are measured. They are 10 cm, 9 cm, 8 cm, 6 cm, 5 cm, 4 cm, 3 cm.
**Question Asked:** What is the maximum possible volume of this composite body?
**Chart/Diagram Description:**
* **Type:** Geometric figure / Diagram of a composite solid and related sketches.
* **Main Elements:**
* The main diagram shows a composite shape formed by two rectangular prisms. The lower part appears to be a larger rectangular prism, and the upper part a smaller one placed on top, aligned to one corner.
* Below the main diagram, there are several sketches:
* An outline of a cube or rectangular prism.
* Exploded view type sketches showing parts of rectangular prisms. One sketch includes labels 'b₁' and 'b₂' and a '+4' annotation next to a dimension. Another sketch has 'x2x2x2' annotated near it.
* Two diagrams showing different arrangements of square units, resembling nets or 2D representations related to the problem. One is labeled '(A)'.
* Numerical calculations and notes are present next to and below the diagrams. Some are crossed out.
* Crossed out calculation: `9x8x10 + 6x5x4 = 588`
* Crossed out calculation: `300`
* Calculation: `10x5 + 9x4 = 86` (This seems to calculate areas)
* Calculation: `10x4 + 9x5 = 85` (This also seems to calculate areas)
* Comparison: `86 > 85`
* Calculation: `86x6 = 516 (cm^3)`
* Calculation: `8-6 = 2` (annotated with a triangle and '55')
* Calculation: `10-6 = 4`
* Final answer note: `答：是516 cm^3` (Answer: is 516 cm^3)
* Handwritten notes near the calculations: `书`, `书`, `二`, `书`
* Handwritten notes on the right side of the page: `60立分米` (60 cubic decimeters), `比2` (compare to 2).
**Other Relevant Text:**
* 第27题 (Question 27)
* 第27题图 (Diagram for Question 27)
* 面积 (Area) - Handwritten note near 86 and 85 calculations.
* 答：是516 cm³ (Answer: is 516 cm³)
**Options:**
* No explicit options (A, B, C, D) are listed in the image.