Answer:
351.9 cm³
Step-by-step explanation:
The ratio of the areas of two similar solids is equal to the square of the ratio of the lengths.
A₂ / A₁ = (s₂ / s₁)²
The ratio of the volumes of two similar solids is equal to the cube of the ratio of the lengths.
V₂ / V₁ = (s₂ / s₁)³
Therefore, we can say:
V₂ / V₁ = (A₂ / A₁)^(3/2)
Plugging in values:
V / 8 cm³ = (324 cm² / 26 cm²)^(3/2)
V = 351.9 cm³
