Answer:
992.43 cm²
Explanation:
From the question given above, the following data were obtained:
For X:
Volume (Vₓ) = 130 cm³
Area (Aₓ) = 202 cm²
For Y:
Volume (Vᵧ) = 638.69 cm³
Area (Aᵧ) =?
Since both shape are similar, we can obtain the area of Y as follow:
Vₓ / Aₓ = Vᵧ / Aᵧ
130 / 202 = 638.69 / Aᵧ
Cross multiply
130 × Aᵧ = 202 × 638.69
Divide both side by 130
Aᵧ = (202 × 638.69) / 130
Aᵧ = 992.43 cm²
Therefore, the area of Y is 992.43 cm²