The ratio of the surface area of two cubes is 4:9. What is the ratio of their volumes? दो घनों के पृष्ठीय क्षेत्रफल का अनुपात 4:9 है। उनके आयतन का अनुपात क्या है?
A
8:27 (8:27)
B
4:9 (4:9)
C
2:3 (2:3)
D
16:81 (16:81)
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Correct Answer 8:27
Explanation
Area ratio = $(a_1/a_2)^2 = 4/9 implies a_1/a_2 = 2/3$. Volume ratio = $(a_1/a_2)^3 = (2/3)^3 = 8/27$.