\boxed{32\sqrt{3}}Question: What is the largest possible number of identical research grants that can be awarded using 2025 and 1515 units of funding, ensuring no funds remain unallocated?

February 22, 2026

$\boxed{32\sqrt{3}}Question: What is the largest possible number of identical research grants that can be awarded using 2025 and 1515 units of funding, ensuring no funds remain unallocated?$

\boxed{\dfrac{3}{5}}
Question: A geneticist analyzes a protein structure shaped like a regular octahedron with edge length 4 nm. What is the surface area in square nanometers?
Solution: A regular octahedron has 8 equilateral triangular faces. The area of one face is $\frac{\sqrt{3}}{4} \times 4^2 = 4\sqrt{3}$. Total surface area: $8 \times 4\sqrt{3} = 32\sqrt{3}$ nm².
Solution: To determine the largest number of identical grants, compute $\gcd(2025, 1515)$.
Factorize:
$2025 = 3^4 \times 5^2$

\boxed{32\sqrt{3}}Question: What is the largest possible number of identical research grants that can be awarded using 2025 and 1515 units of funding, ensuring no funds remain unallocated?

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