
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A drinks carton is formed by arranging four congruent triangles. \( QP = RS = 4 \) cm, and \( PR = PS = QR = QS = 10 \) cm. What is the volume, in \( \text{cm}^3 \), of the carton?

Choices:
A) \(\frac{16}{3} \sqrt{23}\)
B) \(\frac{4}{3} \sqrt{2}\)
C) \(\frac{128}{25} \sqrt{6}\)
D) \(\frac{13}{2} \sqrt{23}\)
E) \(\frac{8}{3} \sqrt{6}\)

Present the answer in LaTex format: \boxed{Your answer}
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