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Question : If the surface area of a cube is 5046 cm2, then the volume of the cube is:

Option 1: 26189 cm3

Option 2: 25145 cm3

Option 3: 22812 cm3

Option 4: 24389 cm3


Team Careers360 7th Jan, 2024
Answer (1)
Team Careers360 9th Jan, 2024

Correct Answer: 24389 cm3


Solution : Given: The surface area of a cube is 5046 cm2.
The surface area of a cube is given by $6a^2$, where $a$ is the length of a side. 
$a = \sqrt{\frac{5046}{6}} = 29$ cm
The volume $(V)$ of a cube is given by $a^3$.
$V = a^3 = (29)^3 = 24389$ cm3
Hence, the correct answer is 24389 cm3.

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